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

作　　者：Quan Zheng Fulin Ye Quan Zheng;Fulin Ye(North China University of Technology, Beijing, China)

机构地区：[1]North China University of Technology, Beijing, China

出　　处：《Journal of Applied Mathematics and Physics》2020年第10期2175-2181,共7页应用数学与应用物理（英文）

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><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>

关 键 词：Quasilinear Singularly Perturbed BVP EQUIDISTRIBUTION Adaptive Mesh Uniform Convergence 

分 类 号：O17[理学—数学]