Exploration of Computational Fluid Dynamics, Fractional Differential Equations, Magnetohydrodynamics, and Mathematical Epidemiology.
Investigating complex physical, fluid, and biological phenomena through advanced mathematical modeling and computational mechanics.
Research projects supported by national funding agencies driving innovative solutions.
Funding Body: Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Govt. of India (~INR 28.5 Lakhs).
Role: Principal Investigator (PI)
Abstract: Developing high-order numerical finite volume algorithms for modeling coupled heat–mass transport in complex porous channels utilizing hybrid nanofluids under electromagnetic field gradients.
Doctoral, postgraduate, and undergraduate research guidance in applied mathematics, numerical methods, and fractional calculus.
Research Topic: Study of Special Functions and Fractional Calculus
Research Topic: Mathematical Modeling of Infectious Diseases Using Fractional Operators
Dissertation: Mathematical Analysis of Illicit Drug Consumption Dynamics with Addiction and Mental Health Effects
Dissertation: Mathematical Modeling of Radioactive Decay Using Differential Equations, Numerical Methods, and Fractional Calculus
Scholars, doctoral candidates, and faculty members mentored across leading universities and national institutions.
Associate editorships, editorial board positions, peer reviewing contributions, and special issue guest editorships across premier international mathematical journals.
Discover Public Health • Discover Viruses • Franklin Open • Clareus Scientific Science and Engineering • NERD Publications
Jambura Journal of Mathematics • Euler: Jurnal Ilmiah Matematika, Sains dan Teknologi • International Journal of Advanced Multidisciplinary Application
Over 90+ peer reviews completed for prestigious international mathematics and engineering journals, notably including: