A Parameter-Uniform Numerical Method for a System of Singularly Perturbed Boundary Value Problems

New Zealand Journal of Mathematics (Online)

Devendra Kumar

关键词: Singular perturbation;    Weakly coupled system;    Boundary value problems;    Boundary layer;    B-spline collocation method.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

A parameter-uniform numerical method based on Shishkin mesh is constructed and analyzed for a weakly coupled system of singularly perturbed second order reaction-diffusion equations. A B-spline collocation method is combined with a piecewise-uniform Shishkin mesh. An asymptotic error bound (independent of the perturbation parameter ) in the maximum norm is established theoretically. To illustrate the theoretical results, two test problems have been carried out.

【 授权许可】

Unknown