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.
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页数：11
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