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Treatment for third-order nonlinear differential equations based on the Adomian decomposition method

Published online by Cambridge University Press:  01 April 2017

Xueqin Lv
Affiliation:
School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, China email hashidalvxueqin@126.com
Jianfang Gao
Affiliation:
School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, China email 09151108@163.com

Abstract

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The Adomian decomposition method (ADM) is an efficient method for solving linear and nonlinear ordinary differential equations, differential algebraic equations, partial differential equations, stochastic differential equations, and integral equations. Based on the ADM, a new analytical and numerical treatment is introduced in this research for third-order boundary-value problems. The effectiveness of the proposed approach is verified by numerical examples.

MSC classification

Type
Research Article
Copyright
© The Author(s) 2017 

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