Applied Mathematics; an interdisciplinary branch of science is my active research zone. Researchers in this domain are mostly interested in investigating different natural phenomena mathematically, which includes mathematical modeling, analysis, and so on. Although I am fascinated by the study of any discipline of Applied Mathematics, with great numbers of fields within this field of science, primarily I am motivated to explore the following fields:
Mathematical and Computational Fluid Dynamics
Partial Differential Equations(PDEs)
Computational Mathematics and Scientific Computing
Mathematical Biology
[1] Moslem Uddin, Abdullah Murad, Stokes’ second problem and oscillatory Couette flow for a two-layer fluid: Analytical solutions, Alexandria Engineering Journal, Volume 61, Issue 12, 2022, https://www.sciencedirect.com/science/article/pii/S1110016822001909
I have done my Master's thesis titled" Viscous fluid flows due to motion of boundaries or gravity" under the supervision of Mr. Abdullah Murad; an Associate Professor of Mathematics at the Dept. of Mathematics, University of Chittagong. The research contained in my thesis concerned with the analytical solutions of few PDEs using mainly Laplace transform method which emerged from the motion of different viscous fluid flow problems. The derived results are in good proximity to existing solutions in special cases. MATLAB; a multitasking computational tools is widely used to aide the solution procedures and for visualizing the velocity fields.