Research Supervision Capacity
About Me
Prof. Dr. Ghulam Mustafa is currently serving as the Dean of the Faculty of Physical and Mathematical Sciences at The Islamia University of Bahawalpur (IUB), Pakistan. He served for eight years as Chairperson of the Department of Mathematics at IUB.
He earned his Ph.D. in Mathematics in 2004 from the University of Science and Technology of China (USTC), P.R. China, under the Cultural Exchange Scholarship Program. He obtained his M.Sc. and M.Phil. degrees from Bahauddin Zakariya University, Multan, and completed his B.Sc. from The Islamia University of Bahawalpur at Dera Nawab College, Ahmadpur East.
In 2010, he visited the School of Mathematical Sciences, USTC, to conduct collaborative research under the “Pakistan Program for Collaborative Research – Foreign Visit of a Local Faculty Member.” In 2011, he completed a postdoctoral fellowship at Durham University, UK, funded by the Association of Commonwealth Universities. From 2013 to 2014, he was a visiting fellow at USTC, sponsored by the Chinese Academy of Sciences.
Prof. Dr. Mustafa has been a Professor of Mathematics since 2016. He has organized numerous national and international conferences, webinars, and Mathematical Olympiads. He has also presented his research at various national and international academic events.
He has completed two research projects funded by the Higher Education Commission (HEC) of Pakistan under the National Research Program for Universities (NRPU)and theStart-up Research Grant Program (SRGP). He has also supervised three students under the Science Talent Farming Scheme (STFS), sponsored by the Pakistan Science Foundation (PSF).
He has served—and continues to serve—as a chairman or member of various important university bodies, including the Senate, Finance and Planning Committee, Academic Council, Advanced Studies and Research Board, Affiliation Committee, Appeal Committee, Board of Studies, and the Board for the Management of Group Insurance Funds.
He is the author of several books, including:
· Subdivision: Its Applications in Solid Modeling and Signal Compression(VDM Verlag, 2010)
· Memories and Achievements of the Department of Mathematics, The Islamia University of Bahawalpur, Pakistan (1979–2021)(IUB Press)
· The 20 Years Journey of the Computer-Aided Geometric Design Research Group Pakistan
Throughout his academic career, he has published more than 146 research papers and successfully supervised 14 Ph.D. and 97 M.Phil. scholars. He serves as an editor, associate editor, guest editor, and reviewer for several reputed journals and regularly reviews M.Phil. and Ph.D. theses from various universities. His research interests include geometric modeling, subdivision schemes, applied approximation theory, the numerical solution of differential equations, picture fuzzy graph, fuzzy set and decision-making.
Research Interest Keywords
Contact Info
Research Publication
1. Bushra Aqil and Rakib Mustafa and Ghulam Mustafa. 2026. “Spherical fuzzy Bezier curve approximation for efficient lane-changing trajectories under uncertain data.” Mathematics and Computers in Simulation 245. 10.1016/j.matcom.2026.01.006
2. Sidra Razaq and Rakib Mustafa and Ghulam Mustafa and Qamar Abbas and Abdul Ghaffar. 2026. “A family of non-uniform, non-symmetric higher-arity interpolatory schemes with function-based mask design for enhanced smoothness and localized support.” Engineering with Computers 42. 10.1007/s00366-025-02269-y
3. Muhammad Tahseen Iqbal and Ghulam Mustafa and Rakib Mustafa and Humaira Mustanira Tariq and Samsul Ariffin Abdul Karim. 2025. “Insights into engineering shapes through curve and surface modeling with the 4-point quaternary subdivision scheme.” Punjab University Journal of Mathematics 57. 10.52280/pujm.2025.57(08)05
4. Reem K. Alhefthi and Aqeel Ahmad and Safdar Abbas and Mustafa Inc and Abdul Ghaffar and Ghulam Mustafa. 2025. “Investigation of Chaotic Finance with Renewable Energy Effects Using Sustainable Fractional Approach.” Computational Economics. 10.1007/s10614-025-11181-y
5. Ghulam Mustafa and Muhammad Shoaib and Shahbaz Ali and Mohamad Nazri Husin. 2025. “On Characterizations of Molecular Descriptors and Entropies for Oxytocin and Cholic Acid Chemical Networks.” Malaysian Journal of Fundamental and Applied Sciences 21. 10.11113/mjfas.v21n5.4423
6. Zainab Iqbal and Syeda Tehmina Ejaz and Ghulam Mustafa and Jihad Younis. 2025. “Numerical simulation of fourth-order Volterra partial integro-differential equations using subdivision and trapezoidal rules.” International Journal of Computer Mathematics. 10.1080/00207160.2025.2572752
7. Aqeel Ahmad and Khurram Faiz and Abdul Ghaffar and Ghulam Mustafa and Evren Hincal. 2025. “Bifurcation and control of xanthomonas infectious disease spread in banana plants under hypersensitive response.” Aerobiologia 41. 10.1007/s10453-025-09856-y
8. Abdul Ghaffar and Tooba Bukhsh and Salem Alkhalaf and S. Abdel-Khalek and Shahram Rezapour and Ghulam Mustafa and Mustafa Inc. 2025. “Fractal curve generation through a general binary 6-point interpolating subdivision scheme with dual shape control parameters.” Fractals 32. 10.1142/S0218348X25401140
9. Rakib Mustafa and Faheem Khan and Ghulam Mustafa and Rimsha Saleem and Muhammad Asghar and Hijaz Ahmad. 2025. “Bounding the distance between the kth control mesh and the limit surface of Li's subdivision.” Numerical Algorithms. 10.1007/s11075-025-02063-3
10. Fakhar Abbas and Abdul Ghaffar and Ali Akgül and Aqeel Ahmad and Ghulam Mustafa and Ahmed S. Hendy and Suhad Ali Osman Abdallah and Naglaa S. Abd El-Gawaad. 2025. “Analysis and dynamics of cholera epidemic system in society via fractal-fractional operator.” Fractals 33. 10.1142/S0218348X24400528
11. Safia Malik and Syeda Tehmina Ejaz and Shahram Rezapour and Mustafa Inc and Ghulam Mustafa. 2025. “Innovative Numerical Method for Solving Heat Conduction Using Subdivision Collocation.” Journal of Applied Mathematics and Computing 71. 10.1007/s12190-025-02429-9
12. Waqas Ahmed and Ghulam Mustafa. 2025. “Complex Pythagorean Parameterized Fuzzy Sets and their Applications to Countering Digital Crime and Digital Terrorism and Supply Chain Management Problem.” Expert Systems with Applications 273. 10.1016/j.eswa.2025.126777
13. Muhammad Akram and Safeena Azam and Ghulam Mustafa and Dragan Pamucar. 2025. “An integrated outranking approach for selecting the best waste water treatment process with spherical fuzzy rough numbers.” Engineering Applications of Artificial Intelligence 144. 10.1016/j.engappai.2025.110115
14. Noreen Saba and Sana Maqsood and Muhammad Asghar and Ghulam Mustafa and Faheem Khan. 2025. “An extended Mittag Leffler function in terms of extended Wright complex hypergeometric function.” Alexandria Engineering Journal 117. 10.1016/j.aej.2024.12.065
15. Sidra Razaq and Rakib Mustafa and Ghulam Mustafa. 2025. “A hybrid family of non-uniform ternary schemes with mixed symmetry for approximating shapes.” Journal of Applied Mathematics and Computing 71. 10.1007/s12190-024-02342-7
16. Sidra Younis and Noreen Saba and Ghulam Mustafa and Muhammad Asghar and Faheem Khan. 2024. “A generalized fractional integral transform for solutions of fractional Burger’s equation.” Punjab University Journal of Mathematics 56. 10.52280/pujm.2024.56(10)03
17. Shahzad Ali and Muhammad Asghar and Ghulam Mustafa and Faheem Khan. 2024. “The generalized algorithm for fractional continuity of polynomial splines.” Journal of Jilin University (Engineering and Technology Edition) 43. 10.5281/zenodo.13898316
18. Rabia Hameed and Ghulam Mustafa and Tayyabah Latif and Samsul Ariffin Abdul Karim. 2024. “Smooth transition and Gibbs oscillation minimization in a 7-point subdivision scheme with shape-control parameters for high smoothness.” Results in Applied Mathematics 23. 10.1016/j.rinam.2024.100485
19. Aqeel Ahmad and Qazi Muhammad Farooq and Hijaz Ahmad and Dilber Uzun Ozsahin and Fairouz Tchier and Abdul Ghaffar and Ghulam Mustafa. 2024. “Study on symptomatic and asymptomatic transmissions of COVID-19 including flip bifurcation.” International Journal of Biomathematics 20. 10.1142/S1793524524500025
20. Abdul Ghaffar and Sadia Javed and Ghulam Mustafa and Ali Akgul and Murad Khan Hassani. 2024. “Generation of fractal curves using new binary 8-point interpolatory subdivision scheme.” Applied Mathematics in Science and Engineering 32. 10.1080/27690911.2024.2367718
21. Nadeem ul Hassan Awan and Abdul Ghaffar and Ghulam Mustafa and Mustafa Inc. 2024. “QSPR analysis for physio-chemical properties of new potential antimalarial compounds involving topological indices.” International Journal of Quantum Chemistry 124. 10.1002/qua.27391
22. Qamar Abbas and Ghulam Mustafa. 2024. “Chromatic polynomial of a picture fuzzy graph with application in traffic light control.” Journal of Applied Mathematics and Computing 70. 10.1007/s12190-024-02011-9
23. R. H. Ali and Behnam Pourhassan and Ghulam Mustafa. 2024. “Quantum thermodynamics of the charged AdS black hole with nonlinear electrodynamics field.” Chinese Journal of Physics 88. 10.1016/j.cjph.2024.02.020
24. Mujahid Iqbal and Dianchen Lu and Aly R. Seadawy and Ghulam Mustafa and Zhengdi Zhang and Muhammad Ashraf and Abdul Ghafar. 2024. “Dynamical analysis of soliton structure for the nonlinear third-order Klein-Fock-Gordon equation under explicit approach.” Optical and Quantum Electronics 56. 10.1007/s11082-023-05435-y
25. Allah Ditta and Xia Tiecheng and Riasat Ali and Ghulam Mustafa and G. Mustafa and Asif Mahmood. 2024. “Thermal properties of Simpson--Visser Minkowski core regular black holes solution in Verlinde's emergent gravity.” Physics of the Dark Universe 43. 10.1016/j.dark.2023.101418
26. Sidra Younis and Noreen Saba and Ghulam Mustafa and Muhammad Asghar and Faheem Khan and Tanweer Ahmad. 2024. “Innovative fractional integral transform for the solution of well known partial differential equations.” Journal of Liaoning Technical University (Natural Science Edition) 18.
27. Tanweer Ahmad and Muhammad Asghar and Ghulam Mustafa and Faheem Khan. 2024. “Unified framework for curve modeling by family of quaternary schemes and its analysis.” Journal of Liaoning Technical University (Natural Science Edition) 18.
28. Muhammad Adeel Shahzad and Rakib Mustafa and Muhammad Asghar and Ghulam Mustafa. 2023. “Unified framework of stationary and non-stationary subdivision schemes for curve modeling.” Mathematical Sciences and Applications 2.
29. Samsul Ariffin Abdul Karim and Rakib Mustafa and Humaira Mustanira Tariq and Ghulam Mustafa and Rabia Hameed and Sidra Razaq. 2023. “The generalized classes of linear symmetric subdivision schemes free from Gibbs oscillations and artifacts in the fitting of data.” Symmetry 15. 10.3390/sym15091620
30. Samsul Ariffin Abdul Karim and Faheem Khan and Ghulam Mustafa and Aamir Shahzad and Muhammad Asghar. 2023. “An efficient computational approach for computing subdivision depth of non-stationary binary subdivision schemes.” Mathematics 11. 10.3390/math11112449
31. Rabia Hameed and Ghulam Mustafa and Jihad Younis and Mohamed A. Abd El Salam. 2023. “Modeling of curves by a design-control approximating refinement scheme.” Arab Journal of Basic and Applied Sciences 30. 10.1080/25765299.2023.2194122
32. Humaira Mustanira Tariq and Rabia Hameed and Ghulam Mustafa. 2022. “A study on the class of non-symmetric 3-point relaxed quaternary subdivision schemes.” IEEE Access 10. 10.1109/ACCESS.2022.3230281
33. Faheem Khan and Bushra Shakoor and Ghulam Mustafa and Sidra Razaq. 2022. “A convolution-based computational technique for subdivision depth of Doo-Sabin subdivision surface.” Journal of Mathematics 2022. 10.1155/2022/2510204
34. Rabia Hameed and Ghulam Mustafa and Rizwan Majeed. 2022. “Variations in 2D and 3D models by a new family of subdivision schemes and algorithms for its analysis.” Mathematical Problems in Engineering 2022. 10.1155/2022/3661307
35. Muhammad Sadiq Hashmi and Rabia Shikrani and Farwa Nawaz and Ghulam Mustafa and Kottakkaran Sooppy Nisar. 2022. “An effective approach to solve fractional partial differential equations based on hybrid B-spline.” AIMS Mathematics 7. 10.3934/math.2022576
36. Ghulam Mustafa and Muhammad Asghar and Shafqat Ali and Arzoo Qamar and Jia-Bao Liu. 2021. “The family of multiparameter quaternary subdivision schemes.” Journal of Mathematics 2021. 10.1155/2021/4732464
37. Ghulam Mustafa and Muhammad Asghar and Ayesha Afzal and Jia-Bao Liu. 2021. “A family of integer-point ternary parametric subdivision schemes.” Journal of Mathematics 2021. 10.1155/2021/9281006
38. Ghulam Mustafa and Syeda Tehmina Ejaz and Sabila Kouser and Shafqat Ali and Muhammad Aslam. 2021. “Subdivision collocation method for one dimensional Bratu's problem.” Journal of Mathematics 2021. 10.1155/2021/3497017
39. Rabia Hameed and Ghulam Mustafa and Jiansong Deng and Shafqat Ali. 2021. “Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form.” Journal of Mathematics 2021. 10.1155/2021/6639706
40. Rabia Hameed and Ghulam Mustafa and Dumitru Baleanu and Yu-Ming Chu. 2021. “A divided differences based medium to analyze smoothness of the binary bivariate refinement schemes.” Advances in Difference Equations 2021. 10.1186/s13662-021-03336-6
41. Syeda Tehmina Ejaz and Ghulam Mustafa and Dumitru Baleanu and Yu-Ming Chu. 2021. “A refinement schemes based unified algorithm for a class of nth order differential equations with a set of constraints.” Advances in Difference Equations 2021. 10.1186/s13662-021-03283-2
42. Humaira Mustanira Tariq and Rabia Hameed and Ghulam Mustafa. 2021. “A new paradigm to design a class of combined ternary subdivision schemes.” Journal of Mathematics 2021. 10.1155/2021/6679201
43. Mehwish Bari and Ghulam Mustafa and Abdul Ghaffar and Kottakkaran Sooppy Nisar and Dumitru Baleanu. 2021. “Construction and analysis of unified 4-point interpolating non-stationary subdivision surfaces.” Advances in Difference Equations 2021. 10.1186/s13662-021-03234-x
44. Pakeeza Ashraf and Ghulam Mustafa and Abdul Ghaffar and Rida Zahra and Kottakkaran Sooppy Nisar and Emad E. Mahmoud and Wedad R. Alharbi. 2020. “Unified framework of approximating and interpolatory subdivision schemes for construction of class of binary subdivision schemes.” Journal of Function Spaces 2020. 10.1155/2020/6677778
45. Pakeeza Ashraf and Ghulam Mustafa and Husna A. Khan and Dumitru Baleanu and Abdul Ghaffar and Kottakkaran Sooppy Nisar. 2020. “A shape-preserving variant of Lane-Riesenfeld algorithm.” AIMS Mathematics 6. 10.3934/math.2021131
46. Ghulam Mustafa and Aamir Shahzad and Faheem Khan and Dumitru Baleanu and Yu-Ming Chu. 2020. “A new computational approach to estimate the subdivision depth of n-ary subdivision scheme.” IEEE Access 8. 10.1109/ACCESS.2020.3030665
47. Rabia Hameed and Ghulam Mustafa and Amina Liaqat and Dumitru Baleanu and Faheem Khan and Maysaa M. Al-Qurashi and Yu-Ming Chu. 2020. “A new approach to increase the flexibility of curves and surfaces produced by 4-point ternary subdivision scheme.” Mathematical Problems in Engineering 2020. 10.1155/2020/6096545
48. Ghulam Mustafa and Dumitru Baleanu and Syeda Tehmina Ejaz and Kaweeta Anjum and Ali Ahmadian and Soheil Salahshour and Massimiliano Ferrara. 2020. “A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems.” Mathematical Biosciences and Engineering 17. 10.3934/mbe.2020346
49. Ghulam Mustafa and Syeda Tehmina Ejaz and Dumitru Baleanu and Yu-Ming Chu. 2020. “The inequalities for the analysis of a class of ternary refinement schemes.” AIMS Mathematics 5. 10.3934/math.2020485
50. Syeda Tehmina Ejaz and Dumitru Baleanu and Ghulam Mustafa and Safia Malik and Yu-Ming Chu. 2020. “The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm.” AIP Advances 10. 10.1063/5.0017884
51. Ghulam Mustafa and Muhammad Asghar. 2020. “Statistical analysis of subdivision schemes in terms of probability distribution.” Punjab University Journal of Mathematics 52.
52. Ghulam Mustafa and Syeda Tehmina Ejaz and Dumitru Baleanu and Abdul Ghaffar and Kottakkaran Sooppy Nisar. 2020. “A subdivision based approach for singularly perturbed boundary value problems.” Advances in Difference Equations 2020. 10.1186/s13662-020-02732-8
53. Ghulam Mustafa and Rabia Hameed and Dumitru Baleanu and Ayesha Mahmood. 2020. “A class of refinement schemes with two shape control parameters.” IEEE Access 8. 10.1109/ACCESS.2020.2997557
54. Faheem Khan and Ghulam Mustafa and Aamir Shahzad and Dumitru Baleanu and Maysaa M. Al-Qurashi. 2020. “A computational method for subdivision depth of ternary schemes.” Mathematics 8. 10.3390/math8050817
55. A. Shahzad and F. Khan and A. Ghaffar and G. Mustafa and K. S. Nisar and D. Baleanu. 2020. “A novel numerical algorithm to estimate the subdivision depth of binary subdivision schemes.” Symmetry 12. 10.3390/sym12010066
56. Ghulam Mustafa and Rabia Hameed and Ata-u-Allah. 2019. “A family of 2n-point approximating subdivision schemes based on least squares method.” Punjab University Journal of Mathematics 51.
57. Muhammad Asghar and Ghulam Mustafa. 2019. “A family of binary approximating subdivision schemes based on Binomial distribution.” Mehran University Research Journal of Engineering and Technology 38. 10.22581/muet1982.1904.20
58. Ghulam Mustafa and Rabia Hameed. 2019. “Families of non-linear subdivision schemes for scattered data fitting and their non-tensor product extensions.” Applied Mathematics and Computation 359. 10.1016/j.amc.2019.03.716
59. Faheem Khan and Muhammad Omar and Ghulam Mustafa. 2019. “Generalized family of approximating schemes based on Newton interpolating polynomials and its error analysis.” Punjab University Journal of Mathematics 51.
60. Shafqat Ali and Shehraz Akhtar and Ghulam Mustafa. 2019. “Semi-analytical solutions of multilayer flow of viscous fluids in a channel.” Punjab University Journal of Mathematics 51.
61. Muhammad Asghar and Muhammad Javeed Iqbal and Ghulam Mustafa. 2019. “A family of high continuity subdivision schemes based on probability distribution.” Mehran University Research Journal of Engineering \& Technology 38. 10.22581/muet1982.1902.13
62. Muhammad Asghar and Ghulam Mustafa. 2019. “Ridge regression based subdivision schemes for noisy data.” Punjab University Journal of Mathematics 51.
63. Ghulam Mustafa and Robina Bashir. 2018. “Univariate approximating schemes and their non-tensor product generalization.” Open Mathematics 16.
64. Ghulam Mustafa and Muhammad Asghar and Madiha Naveed. 2018. “A new paradigm for increasing the continuity of subdivision schemes.” Journal of Prime Research in Mathematics 14.
65. Mehwish Bari and Ghulam Mustafa and Abid Hussain. 2018. “Fractal generation by 7-point binary approximating subdivision scheme.” International Journal of Applied Physics and Mathematics 8. 10.17706/ijapm.2018.8.4.105-111
66. Rabia Hameed and Ghulam Mustafa. 2018. “A family of univariate ternary subdivision schemes with 5 parameters.” SeMA Journal 75. 10.1007/s40324-017-0144-y
67. Robina Bashir and Ghulam Mustafa. 2018. “A family of 6-point n-ary interpolating subdivision schemes.” Mehran University Research Journal of Engineering \& Technology 37. 10.22581/muet1982.1804.03
68. Muhammad Asghar and Ghulam Mustafa. 2018. “Family of a-ary univariate subdivision schemes generated by Laurent polynomial.” Mathematical Problems in Engineering 2018. 10.1155/2018/7824279
69. Robina Bashir and Ghulam Mustafa and Praveen Agarwal. 2018. “A class of shape preserving 5-point n-ary approximating schemes.” Journal of Mathematics and Computer Science 18. 10.22436/jmcs.018.03.11
70. Muhammad Asghar and Ghulam Mustafa. 2018. “Stationary and non-stationary univariate subdivision schemes.” Punjab University Journal of Mathematics 50. 10.1016/b978-0-12-460510-7.50019-7
71. Ghulam Mustafa and Mehwish Bari and Tousif-ur-Rehman. 2018. “The (2n+1)\textsuperscript{2}-point scheme based on bivariate quartic polynomial.” Mehran University Research Journal of Engineering \& Technology 37. 10.22581/muet1982.1802.08
72. Robina Bashir and Mehwish Bari and Ghulam Mustafa. 2018. “Generalization of binary tensor product schemes depends upon four parameters.” Mehran University Research Journal of Engineering \& Technology 37. 10.22581/muet1982.1801.10
73. Ghulam Mustafa and Rabia Hameed. 2017. “Families of univariate and bivariate subdivision schemes originated from quartic B-spline.” Advances in Computational Mathematics 43. 10.1007/s10444-017-9519-y
74. Faheem Khan and Ghulam Mustafa and Muhammad Omar and Haziqa. 2017. “A numerical approach based on Bernstein polynomial for solving Volterra-Fredholm integral equations.” AIP Advances 7. 10.1063/1.5008818
75. Mehwish Bari and Ghulam Mustafa. 2017. “A family of 2n-point ternary non-stationary interpolating subdivision scheme.” Mehran University Research Journal of Engineering \& Technology 36. 10.22581/muet1982.1704.17
76. Ghulam Mustafa. 2017. “Statistical and geometrical way of model selection for a family of subdivision schemes.” Chinese Annals of Mathematics, Series B 38. 10.1007/s11401-017-1024-6
77. Ghulam Mustafa and Mehwish Bari and Amna Sadiq. 2017. “The (2n)\textsuperscript{2}-point scheme based on bivariate cubic polynomial.” Punjab University Journal of Mathematics 49.
78. Mehwish Bari and Robina Bashir and Ghulam Mustafa. 2017. “3n-point quaternary shape preserving subdivision schemes.” Mehran University Research Journal of Engineering \& Technology 36. 10.22581/muet1982.1703.06
79. Ghulam Mustafa and Syeda Tehmina Ejaz. 2017. “A subdivision collocation method for solving two point boundary value problems of order three.” Journal of Applied Analysis and Computation 7. 10.11948/2017059
80. Rabia Hameed and Ghulam Mustafa. 2017. “Family of a-point b-ary subdivision schemes with bell-shaped mask.” Applied Mathematics and Computation 309. 10.1016/j.amc.2017.04.013
81. Ghulam Mustafa and Muhammad Abbas and Syeda Tehmina Ejaz and Ahmad Izani Md Ismail and Faheem Khan. 2017. “A numerical approach based on subdivision schemes solving nonlinear fourth order boundary value problems.” Journal of Computational Analysis and Applications 23.
82. Rabia Hameed and Ghulam Mustafa. 2016. “Construction and analysis of binary subdivision schemes for curves and surfaces originated from Chaikin points.” International Journal of Analysis 2016. 10.1155/2016/1092476
83. Abdul Ghaffar and Ghulam Mustafa and Mehwish Bari. 2016. “Unification of the lambda-point a-ary subdivision scheme.” Science International (Lahore) 28.
84. Abdul Ghaffar and Ghulam Mustafa. 2016. “An alternative method for constructing subdivision algorithm.” Science International (Lahore) 28.
85. Ghulam Mustafa and Muhammad Tahseen Iqbal. 2016. “A 10-point approximating subdivision scheme based on least squares technique.” Applications and Applied Mathematics: An International Journal 11.
86. Ghulam Mustafa and Mehwish Bari. 2016. “Wide-ranging families of subdivision schemes for fitting data.” Punjab University Journal of Mathematics 48.
87. Ghulam Mustafa and Mehwish Bari and Saba Jamil. 2016. “Engineering images designed by fractal subdivision scheme.” SpringerPlus 5. 10.1186/s40064-016-3018-3
88. Syeda Tehmina Ejaz and Ghulam Mustafa. 2016. “A subdivision based iterative collocation algorithm for nonlinear third order boundary value problems.” Advances in Mathematical Physics 2016. 10.1155/2016/5026504
89. Ghulam Mustafa and Pakeeza Ashraf and Noreen Saba. 2016. “A new class of binary approximating subdivision schemes.” Jurnal Teknologi: Sciences \& Engineering 78. 10.11113/jt.v78.8301
90. Ghulam Mustafa and Muhammad Sadiq Hashmi and Faheem Khan. 2016. “Subdivision depth for triangular surfaces.” Alexandria Engineering Journal 55. 10.1016/j.aej.2016.02.013
91. Syeda Tehmina Ejaz and Ghulam Mustafa and Muhammad Faheem Khan. 2015. “Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems.” Mathematical Problems in Engineering 2015. 10.1155/2015/240138
92. Ghulam Mustafa and Mehwish Bari. 2015. “A new class of odd-point ternary non-stationary approximating schemes.” SeMA Journal 68. 10.1007/s40324-015-0031-3
93. Ghulam Mustafa and Pakeeza Ashraf. 2015. “A family of 4-point odd-ary non-stationary subdivision scheme.” SeMA Journal 67. 10.1007/s40324-014-0029-2
94. Ghulam Mustafa and Li Hao and Juyong Zhang and Jiansong Deng. 2015. “?1-regression based subdivision schemes for noisy data.” Computer-Aided Design 58. 10.1016/j.cad.2014.08.003
95. Ghulam Mustafa and Afshan Hazoor Randhawa. 2014. “Complete analysis of 3-point binary subdivision scheme.” Journal of Pure and Applied Sciences 24.
96. Zaheer Abbas and N. Muhammad and Ghulam Mustafa. 2014. “MHD stagnation slip flow over an unsteady stretching surface in porous medium.” Scientia Iranica Transactions B: Mechanical Engineering 21.
97. Ghulam Mustafa and Syeda Tehmina Ejaz. 2014. “Numerical solution of two point boundary value problems by interpolating subdivision schemes.” Abstract and Applied Analysis 2014. 10.1155/2014/721314
98. Ghulam Mustafa and Pakeeza Ashraf and Muhammad Aslam. 2014. “Binary univariate dual and primal subdivision schemes.” SeMA Journal 65. 10.1007/s40324-014-0017-6
99. Ghulam Mustafa and Pakeeza Ashraf and Jiansong Deng. 2014. “Generalized and unified families of interpolating subdivision schemes.” Numerical Mathematics: Theory, Methods and Applications 7. 10.1017/S1004897900000945
100. Pakeeza Ashraf and Ghulam Mustafa and Jiansong Deng. 2014. “A six-point variant on the Lane-Riesenfeld algorithm.” Journal of Applied Mathematics 2014. 10.1155/2014/628285
101. Muhammad Sadiq Hashmi and Ghulam Mustafa and Faheem Khan. 2014. “Estimating error bounds for G. Li et al.'s subdivision scheme.” Science International (Lahore) 26.
102. Pakeeza Ashraf and Ghulam Mustafa. 2014. “A generalized non-stationary 4-point b-ary approximating scheme.” British Journal of Mathematics and Computer Sciences 4. 10.9734/BJMCS/2014/4120
103. Ghulam Mustafa and Mehwish Bari. 2014. “A new class of odd-point ternary non-stationary schemes.” British Journal of Mathematics and Computer Science 4. 10.9734/BJMCS/2014/3736
104. Ghulam Mustafa and Muhammad Zahid. 2013. “Numerical algorithm for analysis of n-ary subdivision schemes.” Applications and Applied Mathematics: An International Journal 2.
105. Ghulam Mustafa and Robina Bashir. 2013. “Four-point n-ary interpolating subdivision schemes.” International Journal of Mathematics and Mathematical Sciences 2013. 10.1155/2013/893414
106. Faheem Khan and Ghulam Mustafa. 2013. “A new non-tensor product C\textsuperscript{1} subdivision scheme for regular quad meshes.” World Applied Sciences Journal 24. 10.5829/idosi.wasj.2013.24.12.1328
107. Mehwish Bari and Ghulam Mustafa. 2013. “A family of 4-point n-ary interpolating scheme reproducing conics.” American Journal of Computational Mathematics 3. 10.4236/ajcm.2013.33031
108. Abdul Ghaffar and Ghulam Mustafa and Kaihuai Qin. 2013. “The 4-point a-ary approximating subdivision scheme.” Open Journal of Applied Sciences 3.
109. Ghulam Mustafa and Abdul Ghaffar and Muhammad Aslam. 2013. “A subdivision-regularization framework for preventing overfitting of data by a model.” Applications and Applied Mathematics: An International Journal 8.
110. Abdul Ghaffar and Ghulam Mustafa and Kaihuai Qin. 2013. “Construction and application of 3-point tensor product scheme.” Applied Mathematics 4. 10.4236/am.2013.43071
111. Ghulam Mustafa and Jiansong Deng and Pakeeza Ashraf and Najma Abdul Rehman. 2012. “The mask of odd points n-ary interpolating subdivision scheme.” Journal of Applied Mathematics 2012. 10.1155/2012/205863
112. Ghulam Mustafa and Jayyada Irum and Mehwish Bari. 2012. “A new 5-point ternary interpolating subdivision scheme and its differentiability.” ISRN Computational Mathematics 2012. 10.5402/2012/924839
113. Abdul Ghaffar and Ghulam Mustafa. 2012. “The family of even-point ternary approximating schemes.” ISRN Applied Mathematics 2012. 10.5402/2012/197383
114. Abdul Ghaffar and Ghulam Mustafa and Kaihuai Qin. 2012. “Unification and application of 3-point approximating subdivision schemes of varying arity.” Open Journal of Applied Sciences 2.
115. Muhammad Aslam and Ghulam Mustafa and Abdul Ghaffar. 2011. “(2n-1)-point ternary approximating and interpolating subdivision schemes.” Journal of Applied Mathematics 2011. 10.1155/2011/832630
116. Ghulam Mustafa and Abdul Ghaffar and Faheem Khan. 2011. “The odd-point ternary approximating schemes.” American Journal of Computational Mathematics 1. 10.4236/ajcm.2011.12011
117. Ghulam Mustafa and Muhammad Sadiq Hashmi. 2011. “Subdivision depth computation for tensor product n-ary volumetric models.” Abstract and Applied Analysis 2011. 10.1155/2011/203453
118. Ghulam Mustafa and Faheem Khan and Sadiq Hashmi and M. Zeshan Afzal. 2011. “A unified three point approximating subdivision scheme.” Analysis in Theory and Applications 27. 10.1007/s10496-011-0010-1
119. Ghulam Mustafa and Faheem Khan and Muhammad Sadiq Hashmi. 2010. “A generalized proof of the smoothness of 6-point interpolating scheme.” Journal of Information and Computing Science 5.
120. Ghulam Mustafa and Pakeeza Ashraf. 2010. “A new 6-point ternary interpolating subdivision scheme and its differentiability.” Journal of Information and Computing Science 5.
121. Ghulam Mustafa and Najma Abdul Rehman. 2010. “The mask of (2b+4)-point n-ary subdivision scheme.” Computing 90. 10.1007/s00607-010-0108-x
122. Ghulam Mustafa and Sadiq Hashmi. 2010. “Subdivision depth computation for n-ary subdivision curves/surfaces.” Visual Computer 26. 10.1007/s00371-010-0496-0
123. Kamran Fakhar and Ghulam Mustafa and Mohammad Azram. 2010. “A random coincidence point theorem for multifunction.” International Journal of Pure and Applied Mathematics 58. 10.1006/jmaa.2000.6772
124. Ghulam Mustafa and Faheem Khan. 2009. “A new 4-point C\textsuperscript{3} quaternary approximating subdivision scheme.” Abstract and Applied Analysis 2009. 10.1155/2009/301967
125. Ghulam Mustafa and Sadiq Hashmi and Faheem Khan. 2009. “Error bounds for sqrt(3) subdivision surfaces.” Journal of University of Science and Technology of China 39.
126. Sadiq Hashmi and Ghulam Mustafa. 2009. “Estimating error bounds for quaternary subdivision schemes.” Journal of Mathematical Analysis and Applications 358. 10.1016/j.jmaa.2009.04.050
127. Ghulam Mustafa and Faheem Khan and Abdul Ghaffar. 2009. “The m-point approximating subdivision scheme.” Lobachevskii Journal of Mathematics 30. 10.1134/S1995080209020061
128. Faheem Khan and Ghulam Mustafa. 2008. “Ternary 6-point interpolating subdivision scheme.” Lobachevskii Journal of Mathematics 29. 10.1134/S1995080208030062
129. Ghulam Mustafa and Sadiq Hashmi and K. P. Akhtar. 2007. “Estimating error bounds of Bajaj’s solid models and their control hexahedral meshes.” Lobachevskii Journal of Mathematics 26.
130. Ghulam Mustafa and Sadiq Hashmi and Faheem Khan. 2007. “Estimating error bounds for non-stationary binary subdivision curves/surfaces.” Journal of Information and Computing Science 2.
131. Ghulam Mustafa and Jiangsong Deng. 2007. “Estimating error bounds for ternary subdivision curves/surfaces.” Journal of Computational Mathematics 24.
132. Ghulam Mustafa and Sadiq Hashmi and Nusrat Anjum Noshi. 2006. “Estimating error bounds for tensor product binary subdivision volumetric model.” International Journal of Computer Mathematics 83. 10.1080/00207160601117263
133. Ghulam Mustafa and Falai Chen and Jiangsong Deng. 2006. “Estimating error bounds for binary subdivision curves/surfaces.” Journal of Computational and Applied Mathematics 193. 10.1016/j.cam.2005.06.030
134. Ghulam Mustafa. 2005. “Random fixed point theorems for contractive type multifunctions.” Journal of the Australian Mathematical Society 78. 10.1017/S144678870000803X
135. Ghulam Mustafa and Nusrat Anjum Noshi and Abdur Rashid. 2005. “Some random coincidence and random fixed point theorems for hybrid contractions.” Lobachevskii Journal of Mathematics 18.
136. Ghulam Mustafa and Xuefeng Liu. 2005. “A subdivision scheme for volumetric model.” Applied Mathematics - A Journal of Chinese Universities Series B 20. 10.1007/s11766-005-0054-0
137. Ghulam Mustafa and Xuefeng Liu. 2005. “A new solid subdivision scheme.” Journal of University of Science and Technology of China 35.
138. Ghulam Mustafa and Falai Chen and Zhangjin Huang. 2004. “Ternary wavelets and their applications to signal compression.” International Journal of Applied Mathematics and Computer Science 14.
139. Ghulam Mustafa. 2004. “A double-sequence random iteration process for random fixed points of contractive type random operators.” Lobachevskii Journal of Mathematics 14.
140. Abdur Rashid and Tahir Mahmood and Ghulam Mustafa. 2004. “An explicit pseudo-spectral scheme for Korteweg-de Vries Burgers equation.” International Journal of Pure and Applied Mathematics 16.
141. Ghulam Mustafa. 2003. “Some random coincidence point theorems.” Journal of Mathematical Research \& Exposition 23.
142. Abdur Rashid and Ghulam Mustafa. 2003. “The Fourier pseudospectral method with restraint operator for Burgers equation.” Journal of University of Science and Technology of China 33.
143. Abdur Rashid and Ghulam Mustafa. 2002. “A three level pseudo-spectral method for vorticity equation.” Gomal University Journal of Research 19.
144. Ghulam Mustafa and Nawab Hussain. 2000. “Random coincidence point theorems for generalized contractive type random multivalued operators on polish spaces.” Journal of Pure and Applied Science 19.
145. Ghulam Mustafa. 2000. “Random coincidence point theorems for Kannan type random multivalued operators on polish spaces.” Journal of Pure and Applied Science 19.
146. Ghulam Mustafa and Nawab Hussain. 1998. “Random coincidence points of random multivalued operators on polish spaces.” Journal of Pure and Applied Science 17.
Research and Development Projects
1. Supervisor/Mentorship of the research project for STFS (Science Talent Farming Scheme)
With: PSF (Pakistan Science Foundation) (2020-06 - 2024-12)
a)The research project for STFS (Science Talent Farming Scheme), for young students Phase-I (Component-I) 6th Batch, sponsored by PSF (Pakistan Science Foundation). Student name: Danial Hussain Shah (No. PSF/STFS/238/2022-23, dated 19-01-2024), Research report title: “Applications of Pascal’s triangle in CAGD and Graph Theory”b)The research project for STFS (Science Talent Farming Scheme), for young students Phase-I (Component-I) 5th Batch, sponsored by PSF (Pakistan Science Foundation). Stu-dent name: Hira Sardar (No. PSF/STFS/135/2019-20, dated 22-11-2021), Research re-port title: “Investigation of cubic B-spline for modeling of curves”c)The research project for STFS (Science Talent Farming Scheme), for young students Phase-I (Component-I)4th Batch, sponsored by PSF (Pakistan Science Foundation). Stu-dent name: Kashaf Aslam (PSF/STFS/135/2017-18, dated 15-06-2020), Research report title: “Investigation of Chaikin's corner cutting scheme for modeling of curves”
2. Generation of mask of univariate and bivariate non-stationary subdivision schemes and their analysis
With: HEC (Higher Education Commission, Pakistan) (2017-05 - 2018-04)
This project focuses on creating and analyzing non-stationary subdivision schemes for curves and surfaces. We developed specialized masks to build high-quality models that stay smooth during the refinement process. A major highlight is the "application-first" focus, as these schemes are designed to handle noisy data and maintain natural shapes. By using tools like non-stationary interpolating methods, we can generate precise 3D structures and even complex fractal patterns. Overall, this research provides a flexible way to pick the best mathematical model for any specific design task.
3. Generation of mask, analysis, model selection and assessment for (n+1)-point m-ary univariate and bivariate subdivision schemes
With: HEC (Higher Education Commission, Pakistan) (2014-04 - 2017-03)
This project improves Computer-Aided Geometric Design (CAGD) by creating new ways to model smooth objects. It focuses on (n+1)-point m-ary schemes for both curves and surfaces. We built these models using probability tools and Laurent polynomials to ensure they stay smooth and continuous. A major highlight is the "application-first" focus. We used ridge regression so the models can handle messy or noisy data from real-world scans. The project also ensures "shape-preserving" results, meaning the final design won't have accidental bumps or wobbles. Finally, we introduced new ways to pick the best model for any specific job. These techniques help designers build complex 3D structures using advanced cubic and quartic math.
The Islamia University of Bahawalpur was established in the year 1975 by upgrading historical institute of the Jamia Abbasia.
