The decomposition method for ordinary differential equations with discontinuities

被引：15

作者：

Casasús, L ^{[1
]}

Al-Hayani, W ^{[1
]}

机构：

[1] Univ Politecn Madrid, Dept Matemat Aplicada, Escuela Tecn Super Ingn Ind, E-28006 Madrid, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 2-3期

关键词：

decomposition method; adomian's polynomials; Initial Value Problems (IVP); heaviside function;

D O I：

10.1016/S0096-3003(01)00142-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the decomposition method is applied to the Initial Value Problem (IVP) for ordinary differential equations with discontinuities for both linear and non-linear cases. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：245 / 251

页数：7

共 14 条

[1] NEW IDEAS FOR PROVING CONVERGENCE OF DECOMPOSITION METHODS [J].

ABBAOUI, K ;

CHERRUAULT, Y .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (07) :103-108

[2]

Abbaoui K., 1994, MATH COMPUT MODEL, V20, P60

[3]

ABBAOUI K, 1994, MATH COMPUT MODEL, V28, P103

[4]

Adomian Adomian G. G., Solving Frontier Problems in Physics. The Decomposition Method

[5]

Adomian G., 1983, STOCHASTIC SYSTEMS

[6]

Adomian G., 1989, Nonlinear Stochastis System Theory and Applications to Physics

[7]

ASOMIAN G, 1986, NONLINEAR STOCHASTIC

[8] Discontinuous impulsive differential equations with nonlinear boundary conditions [J].

Cabada, A ;

Liz, E .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (09) :1491-1497

[9] A generalization of the method of upper and lower solutions for discontinuous first order problems with nonlinear boundary conditions [J].

Cabada, A ;

Pouso, RL ;

Liz, E .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :135-148

[10] DECOMPOSITION METHODS - A NEW PROOF OF CONVERGENCE [J].

CHERRUAULT, Y ;

ADOMIAN, G .

MATHEMATICAL AND COMPUTER MODELLING, 1993, 18 (12) :103-106

← 1 2 →