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  • Azhar Iqbal, Ph.D.

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    College of Sciences and Human Studies

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    Core Program

Dr. Azhar Iqbal is an applied mathematician with a focus on natural phenomena. Currently appointed as Faculty of Mathematics at Prince Mohammad Bin Fahd University (PMU) in the Department of Mathematics and Natural Sciences.  He received the Master’s Degree “Engineering Mathematical and Computational Science” from Chalmers University of Technology (Sweden) and the PhD degree in Applied mathematics from Universiti Sains Malaysia (USM). His recent research interests are related to Numerical Analysis and Computational Mathematics. He has published several articles in peer-review international academic journals on numerical methods and simulations of non-linear wave propagation problems.  His primary interests are to find the more accurate numerical methods to solve differential equations of any order and explore the different techniques of stability and convergence of the numerical methods.

Ph.D. (Applied Mathematics), Universiti Sains Malaysia, 

Numerical Solution of Nonlinear Schrödinger Equations

Based on B-Spline Galerkin Finite Element Method

M.Sc. (M-Phil) (Engineering Mathematics and Computational Science), 

   Chalmers University of Technology, Sweden

B.S (Hons) (Applied Mathematics), Government College University Faisalabad, 


  1. Azhar Iqbal, Nur Nadiah Abd Hamid, Ahmad Izani Md Ismail and Dr. Muhammad Abbas. Galerkin approximation with quintic B-spline as basis and weight functions for solving second order coupled nonlinear Schrödinger equations. Mathematics and Computers in Simulation, 2021. (IF. 1.620)
  2. Umair Rashid, Azhar Iqbal, Haiyi Liang, Muhammad Waqar Ashraf. Dynamics of water conveying zinc oxide through divergent-convergent channels with the effect of nanoparticles shape when Joule dissipation are significant. PLOS ONE, 2021(IF. 2.740)
  3. Umair Rashid, Haiyi Liang , Hijaz Ahmad, Muhammad Abbas, Azhar Iqbal, Y.S. Hamedgh. Study of (Ag and TiO2 )/water  nanoparticles shape effect on heat transfer and hybrid nanofluid flow toward stretching shrinking horizontal cylinder. Results in Physics, 2021(IF. 4.019)
  4. Azhar Iqbal, Nur Nadiah Abd Hamid, and Ahmad Izani Md Ismail. Cubic b-spline galerkin method for numerical solution of the coupled nonlinear schrodinger equation. Mathematics and Computers in Simulation, 2020. (IF. 1.620)
  5. Azhar Iqbal, Mohd Junaid Siddiqui, Imad Muhi, Muhammad Abbas, and Tayyaba Akram. Nonlinear waves propagation and stability analysis for planar waves at far _eld using quintic b-spline collocation method. Alexandria Engineering Journal, 59(4):2695-2703, 2020.(IF. 2.460)
  6. Azhar Iqbal, Nur Nadiah Abd Hamid, Ahmad Izani Md Ismail. Numerical solution of nonlinear schrodinger equation with neumann boundary conditions using quintic b-spline galerkin method. Symmetry, 11(4):469, 2019. (IF. 2.645)
  7. Azhar Iqbal, Nur Nadiah Abd Hamid, Ahmad Izani Md Ismail. Soliton solution of schrodinger equation using cubic b-spline galerkin method. Fluids, 4(2):108, 2019.
  8. Tayyaba Akram, Muhammad Abbas, Azhar Iqbal, Dumitru Baleanu, and Jihad H Asad. Novel numerical approach based on modified extended cubic b-spline functions for solving non-linear time fractional telegraph equation. Symmetry, 12(7):1154, 2020. (IF. 2.645)
  9. Umair Rashid, Azhar Iqbal, Haiyi Liang, Azhar Iqbal, Jamshaid ul Rahman. Effects of gold nanoparticles shapes on magnetohydrodynamic flow and heat transfer in the presence of thermal radiation. Journal of Magnetics, 25(3):319-329, 2020. (IF. 0.480)
  10. Tayyaba Akram, Muhammad Abbas, Ajmal Ali, Azhar Iqbal, and Dumitru Baleanu. A numerical approach of a time fractional reaction diffusion model with a non-singular kernel. Symmetry,12(10):1653, 2020. (IF. 2.645)
  11. Sidra Maqsood, Muhammad Abbas, Kenjiro T Miura, Abdul Majeed, and Azhar Iqbal. Geometric modeling and applications of generalized blended trigonometric bezier curves with shape parameters. Advances in Difference Equations, 2020(1):118, 2020. (IF. 1.510)
  12. Umair Rashid, Dumitru Baleanu, Haiyi Liang, Muhammad Abbas and Azhar Iqbal. Marangoni boundary layer flow and heat transfer of graphene water nanofluid with particle shape effects. Processes, 8(9):1120, 2020. (IF. 2.753)
  13. Umair Rashid, Thabet Abdeljawad, Haiyi Liang, Azhar Iqbal, Muhammad Abbas, Mohd Siddiqui, et al. The shape e_ect of gold nanoparticles on squeezing nanofluid flow and heat transfer between parallel plates. Mathematical Problems in Engineering, 2020, 2020. (IF. 1.009)
  14. Umair Rashid, Dumitru Baleanu, Azhar Iqbal, Muhammad Abbas. Shape effect of nanosize particles on magnetohydrodynamic nanofluid flow and heat transfer over a stretching sheet with entropy generation. Entropy, 22, 1171. 2020.(IF. 2.494)
  15. Mohd. Junaid Siddiqui, and Azhar Iqbal, Solution of non-linear ito system of equations by Homotopy analysis method (HAM), Eurasian Journal of Analytical Chemistry, 4, 2018.
  16. Mohd. Junaid Siddiqui, and Azhar Iqbal, An analytical approach for coupled KDV and modified Camassa-Holm equations, Eurasian Journal of Analytical Chemistry, 2018
  17. Jamshaid ul Rahman, and Gul Sana, and Azhar Iqbal, Modelling and simulation of carts system & energy employment, International Journal of Macro and Nano Physics, 3, 2018.
  18. Azhar Iqbal, and Jamshaid ul Rahman, Solution of the eigenvalue problems by using Galerkin finite element method for an external potential, Journal of Advances in Civil Engineering, 4, 2018.
  19. Azhar Iqbal, Some aspects on the Schrödinger equation, Chalmers University of Technology, 2012.

Prince Mohammad Bin Fahd University

Scopus ID: 57208671975 

ORCID ID: https://orcid.org/0000-0002-5103-6092

Google Scholar ID: https://scholar.google.com/citations?user=T8mTw4IAAAAJ&hl=en&authuser=1

January 2014 –Present                      Lecturer                                 Prince Mohammad Bin Fahd University (PMU),  Al Khobar, Saudi Arabia

Sep 2012 – March 2013                     Researcher                           Chalmers University of Technology, Sweden

May 2012 – July 2012                        Researcher Lab. Assistant  Chalmers University of Technology, Sweden

July 2011 - April 2012                        Teaching Assistant                Hvitfeldtska Gymnasiet, Gothenburg, Sweden


Finite Mathematics

College Algebra


Ordinary Differential Equations

Calculus for Business

Partial Differential Equations

Calculus I

Numerical Analysis

Calculus II

Advanced Numerical Methods

Calculus III



Non-linear Partial Differential Equations, Partial Fractional Differential Equations, Fluid Dynamics, Shock Waves, MHD, Stability Analysis, B-Spline Functions, Galerkin Finite Element Method