Numerical Solution of Quasilinear Singularly Perturbed Problems by the Principle of Equidistribution

• 作者: Fulin Ye
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Quasilinear Singularly Perturbed BVP EQUIDISTRIBUTION Adaptive Mesh Uniform Convergence
• 年，卷（期）: 2020,（10）
• 页码范围: 2175-2181
• 页数: 7页
• 分类号: O17

摘要

<div style="text-align:justify;"> In this paper, the numerical solution and its error analysis of quasilinear singular perturbation two-point boundary value problems based on the principle of equidistribution are given. On the non-uniform grid of the uniformly distributed arc-length monitor function, the solution of the simple upwind scheme is obtained. It is proved that the adaptive simple upwind scheme based on the principle of equidistribution has uniform convergence for small perturbation parameters. Numerical experiments are carried out and the error analysis are confirmed. </div>