PhD in Numerical Mathematics from Otto von Guericke University, Magdeburg, Germany (2020)
Postdoc: Abdus Salam School of Mathematical Sciences, Lahore (2021-2022)
Postdoc: School of Energy and Power Engineering, Jiangsu University, China (2022-2025)
Multi-Physics Numerical PDEs with interface conditions
Modeling and simulation of Ocean-Atmosphere Interaction
Mathematical Biology
1. Taj Munir, Can Kang, Hongchu Chen, Hussan Zeb, Muhammad Naveed Khan, and
Muhammad Usman Farid. “Stability, convergence, and energy-preserving robust methods
for fully implicit and fully explicit coupling schemes.” Chaos, Solitons & Fractals 194
(2025): 116131 (JCR Q1).
2. Taj Munir, Can Kang, L. Wu, and M. Y. Malik. “Stability analysis and energy-preserving
schemes for coupled bi-domain diffusion equations.” International Journal of Numerical
Methods for Heat & Fluid Flow (Emerald Publishing, 2025) (JCR Q1).
3. Taj Munir, Hongchu Chen, Can Kang and Hussan Zeb, “Analysis of Stability, Energy
Conservation, and Convergence in Coupled Advection-Diffusion Models for Ocean-
Atmosphere Interactions.”. Applied Mathematics and Computation (JCR Q1).
4. Taj Munir, Muhammad Zaman, Can Kang, Hussan Zeb, Alrazi Abdeljabbar, and M.
Daher Albalwi. “Breather and solitonic behavior of the parametric Sine–Gordon equation
with phase-shift and driven term.” Results in Physics (2025): 108138 (JCR Q1).
5. Taj Munir, Nagaiah Chamakuri, and Gerald Warnecke. “On conservative, stable boundary
and coupling conditions for diffusion equations I—The conservation property for explicit
schemes.” arXiv preprint arXiv:2502.19003 (2025).
6. Taj Munir, Can Kang, Hongchu Chen, Hussan Zeb, Analysis of Stability, Energy
Conservation, and Convergence in Coupled Advection- Diffusion Models for Ocean-
Atmosphere Interactions, Applied Mathematics and computation (2025).
7. Taj Munir, Hussan Zeb, Haifaa F. Alrihieli, Can Kang, and Fehmi Gamaoun. “Convective
heat transfer analysis on a magnetized flow of non-Newtonian nanofluid with multiple slip
effects.” Mathematical Methods in the Applied Sciences, Article DOI:10.1002/mma.10865
(2025): 3956-3965 (JCR Q1).
8. R Cheng, Taj Munir, H Chen , A Calibration Integral Equation Method for Inverse Heat
Conduction Problems With Nonlinear Back Surface Boundary Condition Journal of
Thermal Science and Engineering Applications 17 (9), 091005.
9. Bilal, S., Hussan Zeb, Taj Munir, and Noreen Sher Akbar. “Evaluating Heat Transfer
Enhancement in Flow between Rotating Disks with Ternary Nanoparticles Induction by
Considering Multiple Physical Aspects.” Partial Differential Equations in Applied
Mathematics (2025): 101032 ( JCR Q2) (Corresponding author).
10. Cheng, Ruiqin, Taj Munir, and Hongchu Chen. “Surface heat flux prediction using
gradient and multilayer materials with position-dependent thermophysical properties and
interfacial thermal resistance.” Thermal Science and Engineering Progress (2025):
103366, ( JCR Q1).
11. Y Chen, X Yu, MU Farid, A Ghafoor, , T Munir, SJ Alshamali, Design Optimization and
Aerodynamic Investigations of Air Suction Seed Metering Systems through CFD-DEM
Approach S Hussain,..Smart Agricultural Technology, 101082.
12. Zeb, Hussan, Taj Munir, Muhammad Zaman, and M. Y. Malik. “Melting heat transfer
Phenomena in Ternary Nanofluid Flow between Rotating Disks under the Influence of
non-Linear Thermal Radiation.” Results in Engineering (2025): 104383.
13. Cheng, Ruiqin, Taj Munir, and Hongchu Chen, A Calibration Integral Equation Method
for Inverse Heat Conduction Problems with Nonlinear Back Surface Boundary Condition,
Journal of Thermal Science and Engineering Applications, TSEA-25-1039, 2025.
14. Taj Munir, Kang, C., Zeb, H., & Alkarni, S. “Computational study of micropolar
Eyrling-Powell ferro-fluid flow.” Numerical Heat Transfer, Part A: Applications, 1-
15 ( JCR Q2).
15. Nasreen, Sadaf, Taj Munir, Saif Ullah, Hussan Zeb, N. Ameer Ahammad, and Mohamed
Abdelghany Elkotb. “Flow dynamics over cylinder in two‐dimensional benchmark problem:
A finite element approximation.” Mathematical Methods in the Applied Sciences 48, no. 3
(2024): 3956-3965 ( JCR Q1).
16. Taj Munir, Kang C et al “Chemically reactive flow of micropolar Eyring–Powell
Ferrofluid passes through stretching surface.” Alexandria Engineering Journal, 108:
177-187 ( JCR Q1).
17. Saif Ullah, Fareeha Yaqub, Taj Munir, and Hussan Zeb. “Optimal semi-analytical
solutions of time-fractional evolution equations.” Journal of Applied Mathematics and
Computing, 1-21 ( JCR Q1).
18. Taj Munir, Anwarud Din, Saif Ullah, M. Y. Malik, and A. S. Alqahtani. “Discrete
mass conservation and stability analysis of the ocean-atmosphere model with
coupling conditions.” Journal of Ocean Engineering and Science, 8(6): 577-589
( JCR Q1).
19. H. Zeb, S. Bhatti, Taj Munir, and M. Malik. “Cattaneo–Christov heat flux modeling
in nanofluid TiO2–titanium oxide and aggregation nanoparticle flow between two
rotating disks.” Waves in Random and Complex Media, 1–21 ( JCR Q1).
20. Taj Munir, Ur Rahman, R.A., Raza, A., Malik. “Multiple-scale analysis of the
parametric-driven sine-Gordon equation with phase shifts.” Open Physics, 20(1): 526-
537 ( JCR Q2).
21. Wu, Peng, Anwarud Din, Taj Munir. “Local and global Hopf bifurcation analysis of
an age-infection HIV dynamics model with cell-to-cell transmission.” Waves in
Random and Complex Media, 1-16 ( JCR Q1).
22. S. Rehman, A. Hussain, Taj Munir. “Application of Laplace-based variation iteration
Taj Munir Resume
method in the field of mechanical vibration.” Acta Mechanica et Automatica. DOI:
10.2478/ama-2022-0012 ( JCR Q2).
23. Yu-Ming Chu, Saif Ullah,Taj Munir. “Numerical Investigation of Volterra Integral
Equations of Second Kind using Optimal Homotopy Asymptotic Method.” Applied
Mathematics and Computation, 430: 127304 ( JCR Q1).
24. A. Ashraf, Z. Zhang, H. Zeb, andTaj Munir “Convective heat transfer analysis for
aluminum oxide (Al2O3)- and ferro (Fe3O4)-based nanofluid over a curved
stretching sheet.” Nanomaterials, 12(7): 1152 ( JCR Q1).
25. Ijaz, E., Ali, J. M., & Taj Munir. “Computation of Numerical Solution via Non-
Standard Finite Difference Scheme.” In Qualitative and Computational Aspects of
Dynamical Systems, IntechOpen ( JCR Q2).
26. Peijiang Liu,Taj Munir, Anwarud Din, et al. “Mathematical assessment of the
dynamics of the tobacco smoking model: An application of fractional theory.”
Journal of AIMS Press ( JCR Q2).
27. A. Din, F.M. Khan, and Taj Munir “The mathematical study of climate change
model under nonlocal fractional derivative.” Partial Differential Equations in Applied
Mathematics ( JCR Q2).
Text box item sample content