Faculty Muhammad Safdar 1

Muhammad Safdar

Associate Professor
  • School of Mechanical & Manufacturing Engineering
  • 5190856073
Summary

Academic Background
PhD (Differential Equations) NUST, Islamabad September 04, 2006 - March 29, 2013
Honours and Awards
Publications
Generalised Lie similarity transformations for the unsteady flow and heat transfer under the influence of internal heating and thermal radiation December 09, 2023 Shuguang Li, Muhammad Safdar, Safia Taj, Muhammad Bilal, Shoaib Ahmed, M Ijaz Khan, Maimona Rafiq, Sherzod Shukhratovich Abdullaev, Pramana-Journal of Physics - Volume:97, Issue:4, Article Number: 203,
Comparative analysis of analytical and numerical approximations for the flow and heat transfer in mixed convection stagnation point flow of Casson fluid August 04, 2023 M. Tanzeel-ur-Rehman Siddiqi, Muhammad Safdar, Hina Muneer Dutt, Safia Taj, M. Ijaz Khan, Barno Sayfutdinovna Abdullaeva, Reem Altuijri, Ahmed M. Hassan, Results in Physics - Volume 52, Article Number 106819
Numerical approximations for fluid flow and heat transfer in the boundary layer with radiation through multiple Lie similarity transformations July 24, 2023 Muhammad Bilal, Muhammad Safdar, Shoaib Ahmed, Karam Dad, Muhammad Umair Ali, Amad Zafar, Kwang Su Kim, Jong Hyuk Byun, Frontiers in Physics - Volume 11, Article Number 1210827
Heat transfer in MHD thin film flow with concentration using lie point symmetry approach July 16, 2023 Ghani Khan, Muhammad Safdar, Safia Taj, Riaz Ahmad Khan, Reham A. Alahmadi, Ilyas khan, Sayed M Eldin, Case Studies in Thermal Engineering - Volume 49, Article Number 103238
Analytical Solutions for Unsteady Thin Film Flow with Internal Heating and Radiation May 12, 2023 Ahsan Ali Naseer, Muhammad Safdar, Safia Taj, Muhammad Umair Ali, Amad Zafar, Kwang Su Kim, Jong Hyuk Byun, Journal of Mathematics - Volume 2023 | Article ID 5612023
Multiple Lie symmetry solutions for effects of viscous on magnetohydrodynamic flow and heat transfer in non-Newtonian thin film May 10, 2023 Muhammad Safdar, Safia Taj, Muhammad Bilal, Shoaib Ahmed, Muhammad Ijaz Khan, Sana Ben Moussa, Bandar M. Fadhl, Basim M. Makhdoum, Sayed M. Eldin, Open Physics - Volume 21, Issue 1, Pages 1-14
Analytic similarity solutions for fully resolved unsteady laminar boundary layer flow and heat transfer in the presence of radiation April 01, 2023 Muhammad Bilal, Muhammad Safdar, Shoaib Ahmed, Riaz Ahmad Khan, Heliyon - Volume 9, Issue 4, Article Number e14765
Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating December 07, 2022 Muhammad Bilal, Muhammad Safdar, Safia Taj, Amad Zafar, Muhammad Umair Ali, Seung Won Lee, Mathematics - Volume 10, Issue 24, Article Number 4640
One-dimensional optimal system of Lie sub-algebra and analytic solutions for a liquid film fluid flow August 01, 2022 Fuzhang Wang, Muhammad Safdar, Bisma Jamil, Muhammad Ijaz Khan, Safia Taj, M.Y. Malik, A.S. Alqahtani, Ahmed M. Galal, Chinese Journal of Physics - Volume 78, Pages 220-223
Lie symmetry analysis of heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation and external magnetic field June 13, 2022 Safia Taj, Muhammad Ijaz Khan, Muhammad Safdar, Samia Elattar, Ahmed M. Galal, Waves in Random and Complex Media - Pages 1-16
Analytic solutions for the MHD flow and heat transfer in a thin liquid film over an unsteady stretching surface with Lie symmetry and homotopy analysis method May 16, 2022 Muhammad Safdar, Muhammad Ijaz Khan, Riaz Ahmed Khan, Safia Taj, Faizan Abbas, Samia Elattar, Ahmed M. Galal, Waves in Random and Complex Media - Pages 1-19
Construction of similarity transformations and analytic solutions for a liquid film on an unsteady stretching sheet using lie point symmetries September 01, 2021 Muhammad Safdar, M. Ijaz Khan, Safia Taj, M.Y. Malik, Qiu-Hong Shi, Chaos, Solitons and fractals - Volume 150, Article Number 111115
Reduction of systems of two nonlinear parabolic type partial differential equations to solvable forms using differential invariants September 01, 2021 M.H. Yaseen, Muhammad Safdar, M. Ijaz Khan, M.Y. Malik, Qiu-Hong Shi, Chaos, Solitons and Fractals - Volume 150, Article Number 111107
Comparison of Noether Symmetries and First Integrals of Two-Dimensional Systems of Second Order Ordinary Differential Equations by Real and Complex Methods September 17, 2019 Muhammad Safdar, Asghar Qadir, Asghar Qadir, Muhammad Umar Farooq, Symmetry - Volume 11, Issue 9
Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach September 01, 2019 Hina Munir Dutt, Muhammad Safdar, Asghar Qadir, Arabian Journal of Mathematics - Volume 8, Issue 3, Pages 163-170, Part 1
Optimal systems and their group invariants solutions to geodesic equations September 01, 2019 Bismah Jamil, Tooba Feroze, Muhammad Safdar, International Journal of Geometric Methods in Modern Physics - Volume 16, Issue 9, Article Number 1950135
Linearization of Two Dimensional Complex-Linearizable Systems of Second Order Ordinary Differential Equations January 01, 2015 Hina Munir Dutt, Muhammad Safdar, Applied Mathematical Sciences - Volume 9, No. 58, Pages 2889-2900
Linearization from Complex Lie Point Transformations November 19, 2014 Sajid Ali, Muhammad Safdar, Asghar Qadir, Journal of Applied Mathematics - Volume 2014, Article ID 793247, 8 pages
Ibragimov-type invariants for a system of two linear parabolic equations August 01, 2012 F.M.Mahomed, Muhammad Safdar, J. Zama, Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 8, Pages 3140–3147
Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis October 20, 2011 Muhammad Safdar, Asghar Qadir, Sajid Ali, Mathematical Problems in Engineering - Volume 2011, Article ID 171834, 17 pages
Linearization of systems of four second order ordinary differential equations September 01, 2011 M SAFDAR, S Ali, F M Mahomed, PRAMANA-journal of physics - Volume 77, Issue 3, Pages 581-594, Special Issue SI
Conferences
Invariants for a system of two linear hyperbolic equations by complex methods May 31, 2023 - June 04, 2023 Adnan Aslam, F. M. Mahomed, Asghar Qadir, Muhammad Safdar, The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Differential Invariants For Nonlinear Third Order Evolution Type Partial Differential Equations December 10, 2018 - December 12, 2018 Muhammad Safdar, safia Taj, INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018)
Lie point algebraic classification of linear third order ODEs using differential invariants December 10, 2018 - December 12, 2018 Muhammad Safdar, safia Taj, Rubina Rauf, THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018)
On Differential Invariants of A Class of Generalized Diffusion Equations September 13, 2018 - September 18, 2018 Muhammad Safdar, Riaz A. Khan, safia Taj, International Conference on Numerical Analysis and Applied Mathematics (ICNAAM-2018)
Semi Invariants for Linear Third Order Evolution Equation September 13, 2018 - September 18, 2018 Muhammad Safdar, Riaz A. Khan, Safia Taj, 16th International Conference of Numerical Analysis and Applied Mathematics
Differential Invariants for Two and Three Dimensional Linear Parabolic Equations August 14, 2017 - August 17, 2017 Adnan Aslam, Asghar Qadir, Muhammad Safdar, International Conference on Symmetries, Differential Equations and Applications
Classification of Two-Dimensional Linearizable Systems of Third Order Ordinary Differential Equations by Complex Methods November 09, 2015 - November 14, 2015 Hina M. Dutt, M. Safdar, Asghar Qadir, 14th Regional Conference on Mathematical Physics