A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition

被引：10

作者：

Cen, Zhongdi ^{[1
]}

Liu, Li-Bin ^{[2
]}

Xu, Aimin ^{[1
]}

机构：

[1] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China

[2] Nanning Normal Univ, Sch Math & Stat, Nanning 530100, Guangxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2021年 / 385卷

基金：

美国国家科学基金会;

关键词：

Singularly perturbed; Hybrid finite difference scheme; Adaptive grid algorithm; Uniform convergence; APPROXIMATIONS;

D O I：

10.1016/j.cam.2020.113205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear singularly perturbed problem with an integral boundary condition is studied. A hybrid finite difference method based on the midpoint difference scheme and the upwind difference scheme is constructed. An adaptive grid generation algorithm is generated by equidistributing a monitor function. The convergence analysis of the hybrid difference method on the adaptive grid is derived. It is proved by theory and experiments that the scheme is second-order uniformly convergent, which improves previous results. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

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