Publication Title

SIAM Journal on Numerical Analysis

Publication Date

6-1996

Document Type

Article

Keywords

semilinear boundry value problem, singular peturbation, finite-difference scheme, piecewise uniform mesh

Disciplines

Applied Mathematics

Abstract

Boundary value problems for singularly perturbed semilinear elliptic equations are considered. Special piecewise-uniform meshes are constructed which yield accurate numerical solutions irrespective of the value of the small parameter. Numerical methods composed of standard monotone finite difference operators and these piecewise-uniform meshes are shown theoretically to be uniformly (with respect to the singular perturbation parameter) convergent. Numerical results are also presented, which indicate that in practice the method is first-order accurate.

Comments

Copyright 1996 Society for Industrial and Applied Mathematics.


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