NUMERICAL SOLUTION OF A SINGULARLY PERTURBED ELLIPTIC-HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION ON A NONUNIFORM DISCRETIZATION MESH

In this paper, we consider the upwind difference scheme for singular perturbation problem (1.1). On a special discretization mesh, it is proved that the solution of the upwind difference scheme is first order convergent, uniformly in the small parameter ε, to the solution of problem (1.1). Numerical...

Full description

Saved in:
Bibliographic Details
Published in:应用数学和力学：英文版 1992 (12), p.1081-1088
Main Author: 吴启光 孙晓弟
Format: Article
Language:English
Subjects:
difference
differential
discretization
equation
mesh
nonuniform
partial
perturbation
problem
scheme
singular
upwind
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we consider the upwind difference scheme for singular perturbation problem (1.1). On a special discretization mesh, it is proved that the solution of the upwind difference scheme is first order convergent, uniformly in the small parameter ε, to the solution of problem (1.1). Numerical results are finally provided.
ISSN:0253-4827
1573-2754