Numerical Analysis-Differential equations. Perturbation methods, homotopy perturbation method, homotopy analysis method, optimal homotopy asymptotic method, new iterative method, differential transform method, Adomian decomposition method, Laplace decomposition method, Extended Picard's method, optimal homotopy asympotic method with Daftardar-Jaferey polynomials, finite difference method.
Numerical Analysis: Series solution to functional equations. Adomian decomposition method, differential transform method, New iterative method, homotopy perturbation method, homotopy analysis method, optimal homotopy asymptotic method, optimal homotopy asymptotic method with Daftardar-Jaffari polynomials.
Analytical Solution to Functional Equations including: nonlinear equations, higher order linear and nonlinear differential equations, integro-differential equations, integral equations, fractional order differential equations, MatLab, Mathematica.
1. Teaching and research 2. Module Leader Applicable Mathematics II. 3. Module Leader Advanced Mathematics for Civil Engineers. 4. Library Coordinator and Event Organizer of the Department of Mathematics & Statistics Caledonian College 5. Member of the Academic Council CCE Oman. 6. Member of the curriculum committee M and S CCE Oman. 7. Member of Offices of Research Innovation and Commercialization, Cecos university of Science and Technology, Peshawar, Pakistan. 8. Initiator of the Cecos Technical Journal, Cecos university. 9. Corriculum designer of Mathematics and Statistics modules, Cecos university Peshawar. 7. Organizer of Staff refreshment annual day Cecos university.