boundary turning point problems 1error analysis 1implicit theta scheme 1parabolic singular perturbation 1shishkin mesh 1weak galerkin finite element method 1
From the 1 of 2 linked papers with an AI index.
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
The paper presents a weak Galerkin finite element method combined with an implicit θ‑time discretization on a Shishkin mesh for solving parabolic singularly perturbed boundary turn…
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…