ROBUSTNESS OF AN UPWIND FINITE DIFFERENCE SCHEME FOR SEMILINEAR CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY TURNING POINTS

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Convection-diffusion Singular perturbation Solution decomposition Shishkin mesh.
• 年，卷（期）: 2003,（4）
• 页码范围: 401-410
• 页数: 10页
• 分类号: O24
• 语种: 英文

摘要

We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwinded finite difference scheme on Shishkin meshes.