Convergence of variational iteration method applied to two-point diffusion problems

被引：13
作者：
Chang, Shih-Hsiang [1 ]
机构：
[1] Far East Univ, Dept Mech Engn, Tainan 74448, Taiwan
来源：
APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 15-16期
关键词：
Diffusion problem; Variational iteration method; Convergence analysis; Error estimate; PARTIAL-DIFFERENTIAL-EQUATIONS; AUXILIARY PARAMETER; NUMERICAL-METHODS; TRANSFORM; ALGORITHM; FLOW;
D O I：
10.1016/j.apm.2016.02.024
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new approach is introduced to construct the variational iteration algorithm-II for diffusion problems. Based on this algorithm, the sufficient conditions for convergence of variational iteration method applied to this type of two-point boundary value problems are established. An error analysis is also presented. Several examples are given to illustrate the convergence concept and error estimate. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：6805 / 6810
页数：6
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