Convergence of the Crank-Nicolson Method for a Singularly Perturbed Parabolic Reaction-Diffusion System

DOI10.1007/978-81-322-3598-9_5zbMath1453.65236OpenAlexW2518523869MaRDI QIDQ4609529

S. Valarmathi, Franklin Victor, John J. H. Miller

Publication date: 4 April 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-3598-9_5

zbMATH Keywords

uniform convergencefinite difference schemeboundary layersShishkin meshparabolic problemssingular perturbation problems

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

• A coupled system of singularly perturbed parabolic reaction-diffusion equations
• On power-bounded operators and operators satisfying a resolvent condition
• Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system
• Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system
• Matrix Theorems for Partial Differential and Difference Equations.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of the Crank-Nicolson Method for a Singularly Perturbed Parabolic Reaction-Diffusion System