kth Order convergence for semilinear elliptic boundary value problems

被引：1

作者：

Wang, Peiguang ^{[1
]}

Li, Ping ^{[2
]}

Wu, Yonghong ^{[3
]}

机构：

[1] Hebei Univ, Coll Elect & Informat Engn, Baoding 071002, Peoples R China

[2] Bohai Petr Vocat Coll, Dept Math & Informat Technol, Renqiu Hebei 062552, Peoples R China

[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 214卷 / 01期

基金：

芬兰科学院;

关键词：

Semilinear elliptic problems; Quasilinearization; kth Order convergence;

D O I：

10.1016/j.amc.2009.02.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of quasilinearization coupled with the method of upper and lower solutions, is applied to the semilinear elliptic boundary value problems. At the same time, the result of kth convergence for the semilinear boundary value problems is obtained via the idea of Taylors approximation. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：4 / 9

页数：6

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