Special Session 135: Latest Developments in Computational Methods for Differential Equations Arising in Fluid Dynamics with Multi-scale and Boundary Layer Behaviour
An Efficient Robust Computational Method for Singularly Perturbed 1D Parabolic PDEs
Natesan Srinivasan
Indian Institute of Technology Guwahati India
Co-Author(s): Suraj Kumar
Abstract:
Here, we study the numerical solution of singularly perturbed 1D parabolic PDE exhibiting boundary layers. Crank-Nicolson scheme is used to discretize the time derivative on uniform mesh and Non-symmetric Interior Penalty Galerkin (NIPG) is used for the spatial derivatives on the exponentially-graded mesh. Stability, convergence and superconvergence are studied and numerical experiments are provided.