Variational iterative method and initial-value problems

被引：2
|
作者：
Mamode, Malik
机构：
[1] Department of Physics, Laboratoire de Physique du Bâtiment et des Systèmes, University of La Réunion
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 01期
关键词：
Variational iterative method; Initial-value problem; Green function; Nonlinear Klein-Gordon equation; Picard iterative scheme; Convergence analysis; KLEIN-GORDON EQUATION;
D O I：
10.1016/j.amc.2009.05.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The variational iterative method is revisited for initial-value problems in ordinary or partial differential equation. A distributional characterization of the Lagrange multiplier - the keystone of the method - is proposed, that may be interpreted as a retarded Green function. Such a formulation makes possible the simplification of the iteration formula into a Picard iterative scheme, and facilitates the convergence analysis. The approximate analytical solution of a nonlinear Klein-Gordon equation with inhomogeneous initial data is proposed. (C) 2009 Elsevier Inc. All rights reserved.
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页码：276 / 282
页数：7
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