2 papers
math.NA2026
Error Analysis of a Fully-Discrete Implicit -Scheme with WG-FEM for Parabolic Singularly Perturbed Boundary Turning Point Problems
Aayushman Raina, Srinivasan Natesan
In this article, we introduce a weak Galerkin finite element method (WG-FEM) for a class of parabolic singularly perturbed boundary turning point problems (SPBTPPs). The proposed n…
math.NA2025
A Parameter-Driven Physics-Informed Neural Network Framework for Solving Two-Parameter Singular Perturbation Problems Involving Boundary Layers
Pradanya Boro, Aayushman Raina, Srinivasan Natesan
In this article, our goal is to solve two-parameter singular perturbation problems (SPPs) in one- and two-dimensions using an adapted Physics-Informed Neural Networks (PINNs) appro…