Dr. M. T. Mustafa

Department of Mathematics, Statistics and Physics

College of Arts and Sciences 

Qatar University, Doha 2713, Qatar

Email: tahir.mustafa@qu.edu.qa, mtmustafa.math@gmail.com

Qualifications

1996 Ph.D., Mathematics, University of Leeds, Leeds, U.K.

1992 M.Phil., Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

1989 M.Sc., Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Publications (Selected)

1. M. T. Mustafa, 1998. A Bochner technique for harmonic morphisms, Journal of the London Mathematical Society, vol. 57, issue 3, pp. 746-756.
2. M. T. Mustafa, 1999. Restrictions on harmonic morphisms, Conformal Geometry & Dynamics: An Electronic Journal of the American Mathematical Society, vol. 3, pp. 102-115.
3. M. T. Mustafa, 2000. Applications of harmonic morphisms to gravity, Journal of Mathematical Physics, vol. 41, issue 10, pp. 6918-6929.
4. M. T. Mustafa, 2004. The structure of harmonic morphisms with totally geodesic fibres, Communications in Contemporary Mathematics, vol. 6, issue 3, pp. 419-430.
5. M. T. Mustafa, 2005. A non-existence result for compact Einstein warped products, Journal of Physics A: Mathematical and General, vol. 38, issue 47, pp. L791-L793.
6. H. Azad and M. T. Mustafa, 2006. Why do certain limacons have a dimple, Teaching Mathematics and its Applications, Oxford University Press, vol. 25, pp. 196-204.
7. Azad A. Siddiqui and M. T. Mustafa, 2007. Wavelet optimized finite difference method with non-static regridding, Applied. Mathematics and Computation, vol. 186, pp. 203-211.
8. H. Azad and M. T. Mustafa, 2007. Harmonic morphisms of warped product type from Einstein manifolds, Archiv der Mathematik, vol. 88, issue 4, pp. 368-377.
9. H. Azad and M. T. Mustafa, 2007. Symmetry analysis of wave equation on sphere, Journal of Mathematical Analysis and Applications, vol. 333, pp.1180-1188.
10. Khalid Masood  and M. T. Mustafa, 2008. Stabilizing of an ill-posed inverse problem by using smoothing splines and hyperbolic heat equation, Inverse Problems in Science & Engineering, vol. 16, pp.233-247.
11. Ashfaque H. Bokhari, M. T. Mustafa and F. D. Zaman, 2008. An exact solution of a quasilinear Fisher equation in cylindrical coordinates, Nonlinear Analysis-Theory Methods & Applications, vol. 69, pp.4803-4805.
12. Ashfaque H. Bokhari, Ghulam Muhammad, M. T. Mustafa and F. D. Zaman, 2009 Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties, Mathematical Problems in Engineering, Article Number: 926086.
13. M. T. Mustafa and Khalid Masood, 2009. Symmetry solutions of a non-linear elastic wave equation with third order anharmonic corrections, Applied Mathematics and Mechanics, vol. 30, pp. 1017-1026.
14. H. Azad, M. T. Mustafa and A. F. M. Arif, 2010. Analytic solutions of initial-boundary-value problems of transient conduction using symmetries, Applied. Mathematics and Computation, vol. 215, pp. 4132-4140.
15. H. Azad and M. T. Mustafa, 2010. Group classification, optimal system and optimal reductions of a class of Klein Gordon equations, Communications in Nonlinear Science and Numerical Simulation, vol. 15, pp. 1132-1147.
16. H. Azad, A. Laradji and M. T. Mustafa, 2011. Polynomial solutions of differential equations, Advances in Difference Equations, Article Number: 58.
17. M. T. Mustafa, S. M. Zubair and A. F. M. Arif, 2011. Thermal analysis of orthotropic annular fins with contact resistance: A closed-form analytical solution, Applied Thermal Engineering, vol 31, pp. 937-945.
18. M. T. Mustafa, 2012. Harmonic morphisms projecting harmonic functions to harmonic functions, Abstract and Applied Analysis, Article Number: 315757.
19. H. Azad, A. Laradji and M. T. Mustafa, 2013. Polynomial solutions of certain differential equations arising in physics, Mathematical Methods in The Applied Sciences, vol. 36, pp. 1615–1624, 2013.
20. H. Azad, A. Y. Al-Dweik, R. A. Ghanam M. T. Mustafa, 2013. Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries, Journal of Mathematical Physics, vol. 54, 063509, 2013.
21. M. T. Mustafa, A. Y. Al-Dweik, and R. A. Marabeh, 2013. On the linearization of second order ordinary differential equations to the Laguerre form via generalized Sundman transformations, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol. 9.
22. M. T. Mustafa, A. F. M. Arif and Khalid Masood, 2014. Approximate Analytic Solutions of Transient Nonlinear Heat Conduction with Temperature-Dependent Thermal Diffusivity, Abstract and Applied Analysis, Article ID 423421.
23. M. Hosseini, M. T. Mustafa: M. Jafaryar, E. Mohammadian, 2014. Nanofluid in tilted cavity with partially heated walls, Journal of Molecular Liquids, vol. 199, pp. 545-551.
24. M. T. Mustafa and A. Y. Al-Dweik, 2015. Noether symmetries and conservation laws of wave equation on static spherically symmetric spacetimes with higher symmetries, Communications in Nonlinear Science and Numerical Simulation, vol. 23, pp. 141-152.
25. A. Paliathanasis, M. Tsamparlis and M. T. Mustafa, 2015. Symmetry analysis of the Klein-Gordon equation in Bianchi I spacetimes, International Journal of Geometric Methods in Modern Physics, Vol. 12, 1550033.

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