Dr. Imran Naeem
Associate Professor
Syed Babar Ali School of Science and Engineering
Dr Imran Naeem received the M. Phil. Applied Mathematics degree from Quaid-e-Azam University, Islamabad and the Ph.D. degree from University of the Witwatersrand, South Africa in 2004 and 2008. He did the Post Doctoral Fellowship from University of the Witwatersrand, South Africa and has also been teaching at the University of the Witwatersrand prior to joining LUMS. Dr Naeem has several publications in leading international journals.
| Title | Publication | Author | Year |
|---|---|---|---|
| Generalised conservation laws, reductions and exact solutions of the K(m, n) equations via double reduction theory | Pramana - Journal of Physics | 2021 | |
| EXACT SOLUTIONS of A BLACK-SCHOLES MODEL with TIME-DEPENDENT PARAMETERS by UTILIZING POTENTIAL SYMMETRIES | Discrete and Continuous Dynamical Systems - Series S | 2020 | |
| Closed-form solutions of two-sector Romer model of endogenous growth using partial Hamiltonian approach | Mathematical Methods in the Applied Sciences | 2020 | |
| The approximate Noether symmetries and approximate first integrals for the approximate Hamiltonian systems | Nonlinear Dynamics | 2019 | |
| First integrals and exact solutions of some compartmental disease models | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences | 2019 | |
| First integrals and analytical solutions of some dynamical systems | Nonlinear Dynamics | 2019 | |
| The approximate Noether symmetries and approximate first integrals for the approximate Hamiltonian systems | Nonlinear Dynamics | 2019 | |
| The Artificial Hamiltonian, First Integrals, and Closed-Form Solutions of Dynamical Systems for Epidemics | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences | 2018 | |
| Conservation Laws and Exact Solutions of Generalized Nonlinear System and Nizhink-Novikov-Veselov Equation | Mathematical Problems in Engineering | 2018 | |
| Generalization of approximate partial Noether approach in phase space | Nonlinear Dynamics | 2017 | |
| Qualitative and Quantitative Techniques for Differential Equations Arising in Mathematical Physics | Advances in Mathematical Physics | 2017 | |
| Symmetry classification of time-fractional diffusion equation | Communications in Nonlinear Science and Numerical Simulation | 2017 | |
| First integrals and exact solutions of the SIRI and tuberculosis models | Mathematical Methods in the Applied Sciences | 2016 | |
| Group classification and exact solutions of generalized modified Boussinesq equation | Applicable Analysis | 2015 | |
| A partial Lagrangian approach to mathematical models of epidemiology | Mathematical Problems in Engineering | 2015 | |
| Nonclassical Symmetry Analysis of Heated Two-Dimensional Flow Problems | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences | 2015 | |
| Analytical solutions of time-space fractional, advection-dispersion and Whitham-Broer-Kaup equations | Pramana - Journal of Physics | 2014 | |
| Mathematical methods and models in the natural to the life sciences | Abstract and Applied Analysis | 2014 | |
| Comparison of different approaches to construct first integrals for ordinary differential equations | Abstract and Applied Analysis | 2014 | |
| Exact solutions of generalized modified boussinesq, kuramoto-sivashinsky, and camassa-holm equations via double reduction theory | Journal of Applied Mathematics | 2013 | |
| Reductions and new exact solutions of ZK, Gardner KP, and modified KP equations via generalized double reduction theorem | Abstract and Applied Analysis | 2013 | |
| Conservation laws of some physical models via symbolic package GeM | Mathematical Problems in Engineering | 2013 | |
| Conservation laws and exact solutions of a class of non linear regularized long wave equations via double reduction theory and Lie symmetries | Communications in Nonlinear Science and Numerical Simulation | 2013 | |
| Nonclassical symmetry analysis of boundary layer equations | Journal of Applied Mathematics | 2012 | |
| Conserved quantities for a class of (1+n)-dimensional linear evolution equation | Communications in Nonlinear Science and Numerical Simulation | 2012 |