Research

Mathematical Sciences

Title :

Fractal Partial Differential Equations: Multiscale modelling, Analysis and Computations

Area of research :

Mathematical Sciences

Principal Investigator :

Dr. Navnit Jha, South Asian University, New Delhi

Timeline Start Year :

2023

Timeline End Year :

2026

Contact info :

Details

Executive Summary :

The proposed research work results in efficient computing techniques to solve multi-dimensional FPDEs. Detailed convergence theory and stability analysis of the discrete nonlinear equations will be designed via radial basis network and fuzzy modelling by using optimal discretization techniques. A comparative study employing fuzzy modelling, radial basis, and deep learning will be a milestone in the area of non-conventional partial differential equations. The research work continues to develop efficient computing techniques for nonlinear elliptic and hyperbolic partial differential equations in fractal media.

Total Budget (INR):

6,60,000

Organizations involved