A modified Adomian method for system of nonlinear differential equations

Huifeng Gu; Zhi bin Li

doi:10.1016/j.amc.2006.08.153

A modified Adomian method for system of nonlinear differential equations

Huifeng Gu
, Zhi bin Li^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

In this paper a modified Adomian method is introduced to solve some systems of nonlinear differential equations. The method can be mechanized in Maple and a procedure is written to solve the approximate analytic solution of the systems. Some examples will be presented to illustrate the effectiveness of the method and the procedure. A comparison between the program and the original Adomian method's program is drawn.

Original language	English
Pages (from-to)	748-755
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	187
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.08.153
State	Published - 15 Apr 2007

Keywords

Adomian decomposition method
Adomian polynomials
Differential equations
Nonlinear operators

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10.1016/j.amc.2006.08.153

Cite this

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abstract = "In this paper a modified Adomian method is introduced to solve some systems of nonlinear differential equations. The method can be mechanized in Maple and a procedure is written to solve the approximate analytic solution of the systems. Some examples will be presented to illustrate the effectiveness of the method and the procedure. A comparison between the program and the original Adomian method's program is drawn.",

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author = "Huifeng Gu and Li, \{Zhi bin\}",

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AU - Li, Zhi bin

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AB - In this paper a modified Adomian method is introduced to solve some systems of nonlinear differential equations. The method can be mechanized in Maple and a procedure is written to solve the approximate analytic solution of the systems. Some examples will be presented to illustrate the effectiveness of the method and the procedure. A comparison between the program and the original Adomian method's program is drawn.

KW - Adomian decomposition method

KW - Adomian polynomials

KW - Differential equations

KW - Nonlinear operators

UR - https://www.scopus.com/pages/publications/34247224765

U2 - 10.1016/j.amc.2006.08.153

DO - 10.1016/j.amc.2006.08.153

M3 - 文章

AN - SCOPUS:34247224765

SN - 0096-3003

VL - 187

SP - 748

EP - 755

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

A modified Adomian method for system of nonlinear differential equations

Abstract

Keywords

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