Research Supervision Capacity
About Me
My name is Dr. Muhammad Mustahsan, currently serving as Assistant Professor in the Department of Mathematics at The Islamia University of Bahawalpur, Pakistan.
I obtained my PhD in Computational Mathematics from the University of Stuttgart, Germany, under the supervision of Professor Klaus Höllig. My doctoral research focused on finite element approximation using hierarchical WEB-splines. Since then, my research has concentrated on finite element methods, numerical analysis, spline-based approximation techniques, optimal control problems, nonlinear partial differential equations, and computational modeling.
Over the past years, I have supervised PhD and MPhil students in finite element methods and numerical analysis and have published research articles in international journals, including Mathematics, Mathematical Methods in the Applied Sciences, Frontiers in Physics, Soft Computing, and other peer-reviewed journals. One of my publications concerns finite element approximation of optimal control problems using WEB-splines, which I believe aligns particularly well with several themes present in your research.
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Contact Info
Research Publication
1. Nazir, Ayesha and Mustahsan, Muhammad and Akram, Muhammad and Mansha, Shahzad. 2026. “Development and stability analysis of a block hybrid collocation method for numerical solution of the third-order quasi-linear ordinary differential equations.” Informa UK Limited 14. https://doi.org/10.1080/21642583.2026.2684090
2. Nazir, Ayesha and Mustahsan, Muhammad and Shahbaz, Muhammad and Abdalrahem, Mushtaq K. and Sajjad, Muhammad and Hazzazi, Mohammad Mazyad and Turyasingura, Benson. 2026. “Traveling Wave Analysis for the Fractional ZK?MEW Equation via Exp?Function Method.” Wiley 2026. https://doi.org/10.1155/jom/5091467
3. Rafiq, Shahid and Asim, Muhammad and Mustahsan, Muhammad and Ijaz Khan, M. 2024. “Finite-element approximation for three-dimensional nanofluid flow with heat transfer over a non-linearly stretching sheet.” Springer Science and Business Media LLC 98. https://doi.org/10.1007/s12043-024-02804-4
4. Salamat, Nadeem and Missen, Malik Muhammad Saad and Akhtar, Nadeem and Mustahsan, Muhammad and Surya Prasath, V. B. 2024. “Color image restoration by filtering methods: a review.” Springer Science and Business Media LLC 28. https://doi.org/10.1007/s00500-024-09673-4
5. Rafiq, Shahid and Mustahsan, Muhammad and Asim, Muhammad and Khan, M. Ijaz and Khan, Sami Ullah and Ahmad, Furqan and Waqas, M. and Abdullaeva, Barno. 2024. “Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations.” Elsevier BV 12. https://doi.org/10.1016/j.padiff.2024.100927
6. Asim, Muhammad and Rafiq, Shahid and Mustahsan, Muhammad and Khan, M. Ijaz and Boujelbene, Mohamed and Boudjemline, Attia and Chaudhry, Imran Ali and Elbadawi, Isam. 2023. “Numerical study of thermal performance of yield stress rheological liquid under suspension of hybrid nanostructures: The finite element approach.” World Scientific Pub Co Pte Ltd 37. https://doi.org/10.1142/S0217979223502909
7. Salamat, Nadeem and Arif, Ameer Hamza and Mustahsan, Muhammad and Missen, Malik M. Saad and Prasath, V. B. Surya. 2022. “On compacton traveling wave solutions of Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation.” Springer Science and Business Media LLC 41. https://doi.org/10.1007/s40314-022-02082-z
8. and Mustahsan, Muhammad and Younas, Hafiz Muhammad and Salamat, Nadeem and Touqeer, Muhammad and Abbas, Muntazim. 2021. “Modeling the thermo physical behavior of metallic porous fin on varying convective loads.” Indian Society for Education and Environment 14. https://doi.org/10.17485/IJST/v14i6.1761
9. and Touqeer, Muhammad. 2020. “An extension of grey relational analysis for intuitionistic and interval-valued intuitionistic fuzzy soft sets.” Indian Society for Education and Environment 13. https://doi.org/10.17485/IJST/v13i37.1356
10. Mustahsan Muhammad, Younas H. M., Iqbal S., Rathore Sushila, Nisar Kottakkaran Sooppy, Singh Jagdev. 2020. “An Efficient Analytical Technique for Time-Fractional Parabolic Partial Differential Equations.” Frontiers in Physics 8. https://doi.org/10.3389/phy.2020.00131
11. and Touqeer, Muhammad. 2020. “An extension of grey relational analysis for interval-valued fuzzy soft sets.” Indian Society for Education and Environment 13. https://doi.org/10.17485/IJST/v13i31.115
12. Mustahsan, Muhammad and Kiran, Ayesha and Singh, Jagdev and Nisar, Kottakkaran Sooppy and Kumar, Devendra. 2020. “Higher order B?spline differential quadrature rule to approximate generalized Rosenau?RLW equation.” Wiley 43. https://doi.org/10.1002/mma.6423
13. Sana, Madiha and Mustahsan, Muhammad. 2019. “Finite Element Approximation of Optimal Control Problem with Weighted Extended B-Splines.” MDPI AG 7. https://doi.org/10.3390/math7050452
14. Salamat, Nadeem and Mustahsan, Muhammad and Saad Missen, Malik M. 2019. “Switching Point Solution of Second-Order Fuzzy Differential Equations Using Differential Transformation Method.” MDPI AG 7. https://doi.org/10.3390/math7030231
15. Younas, H. M. and Mustahsan, Muhammad and Manzoor, Tareq and Salamat, Nadeem and Iqbal, S. 2019. “Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method.” MDPI AG 7. https://doi.org/10.3390/math7030264
16. Arshad, Muhammad and Sana, Madiha and Mustahsan, Muhammad. 2019. “Multiblock Mortar Mixed Approach for Second Order Parabolic Problems.” MDPI AG 7. https://doi.org/10.3390/math7040325
17. Rafiq, Sh. and Nawaz, M. and Mustahsan, M. 2018. “Casson Fluid Flow Due to Non-Coaxial Rotation of a Porous Disk and the Fluid at Infinity Through a Porous Medium.” Pleiades Publishing Ltd 59. https://doi.org/10.1134/S0021894418040053
18. M. Ramzan, M. Mustahsan. 2015. “Proper Curvature Collineations in Static Lemaitre-Tolman-Bondi Symmetric Space time.” SURJ 47. https://sujo.usindh.edu.pk/index.php/SURJ/article/view/5113
19. Nadeem Salamat, Muhammad Mustahsan. 2014. “Temporal Soliton Solution of the Generalized Davey-Stewartson System of Partial Differential Equation.” Global Journal of Pure and Applied Mathematics 10. https://www.ripublication.com/gjpamv7/gjpamv10n6_08.pdf
The Islamia University of Bahawalpur was established in the year 1975 by upgrading historical institute of the Jamia Abbasia.
