Fractal Partial Differential Equations: Multiscale modelling, Analysis and Computations
Implementing Organization
South Asian University
Principal Investigator
Dr. Navnit Jha
South Asian University
Project Overview
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.