Convergence of the Adomian Decomposition Method for Initial-Value Problems

被引：92

作者：

Abdelrazec, Ahmed ^{[2
]}

Pelinovsky, Dmitry ^{[1
]}

机构：

[1] McMaster Univ, Dept Math, Hamilton, ON L8S 4K1, Canada

[2] York Univ, Dept Math, Toronto, ON M3J 1P3, Canada

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 27卷 / 04期

关键词：

Adomian decomposition method; Cauchy-Kowalevskaya theorem; nonlinear Schrodinger equation; NONLINEAR SCHRODINGER-EQUATION; DIFFERENTIAL-EQUATIONS; SCHEME;

D O I：

10.1002/num.20549

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We prove convergence of the Adomian decomposition method for an abstract initial-value problem using the method of majorants from the Cauchy-Kowalevskaya theorem for differential equations with analytic vector fields. Convergence rates of the Adomian method are investigated in the context of the nonlinear Schrodinger equation. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 749-766, 2011

引用

页码：749 / 766

页数：18

共 35 条

[1]

CONVERGENCE OF ADOMIAN METHOD APPLIED TO DIFFERENTIAL-EQUATIONS [J].