**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)**

- M. T. Mustafa, 1998. A Bochner technique for harmonic morphisms, Journal of the London Mathematical Society, vol. 57, issue 3, pp. 746-756.
- M. T. Mustafa, 1999. Restrictions on harmonic morphisms, Conformal Geometry & Dynamics: An Electronic Journal of the American Mathematical Society, vol. 3, pp. 102-115.
- M. T. Mustafa, 2000. Applications of harmonic morphisms to gravity, Journal of Mathematical Physics, vol. 41, issue 10, pp. 6918-6929.
- M. T. Mustafa, 2004. The structure of harmonic morphisms with totally geodesic fibres, Communications in Contemporary Mathematics, vol. 6, issue 3, pp. 419-430.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- H. Azad, A. Laradji and M. T. Mustafa, 2011. Polynomial solutions of differential equations, Advances in Difference Equations, Article Number: 58.
- 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.
- M. T. Mustafa, 2012. Harmonic morphisms projecting harmonic functions to harmonic functions, Abstract and Applied Analysis, Article Number: 315757.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.

**Profile Details **

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