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

New Zealand Journal of Mathematics

Devendra Kumar¹ 

[1] Department of MathematicsBirla Institute of Technology & Science,Pilani-333031, India$$

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

DOI  :  

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 ε) in the maximum norm is established theoretically. To illustrate the theoretical results, two test problems have been carried out.

【 授权许可】

Unknown