A high-order finite difference scheme for a singularly perturbed reaction-diffusion problem with an interior layer

A high-order finite difference scheme for a singularly perturbed reaction-diffusion problem with an interior layer

Abstract In this paper, we consider a singularly perturbed reaction-diffusion problem with a discontinuous source term. Boundary and interior layers appear in the solution. The problem is discretized by using a hybrid finite difference scheme on a Shishkin-type mesh. A nonequidistant generalization...

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Bibliographic Details
Main Authors: Zhongdi Cen, Anbo Le, Aimin Xu
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Advances in Difference Equations
Subjects:
singular perturbation
reaction-diffusion equation
Shishkin-type mesh
finite difference scheme
uniform convergence
Online Access:http://link.springer.com/article/10.1186/s13662-017-1268-1

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