Numerical solution of a convection diffusion problem with Robin boundary conditions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:156

Article

Ansari, AR ; Hegarty, AF

关键词: singularly perturbed differential equation;    parameter robust;    piecewise-uniform mesh;   

DOI  :  10.1016/S0377-0427(02)00913-5

来源: Elsevier

【 摘 要 】

We consider a one-dimensional steady-state convection dominated convection-diffusion problem with Robin boundary conditions. We show, both theoretically and with numerical experiments, that numerical solutions obtained using an upwind finite difference scheme on Shishkin meshes are uniformly convergent with respect to the diffusion coefficient. (C) 2003 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free