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

Part of: Functional-differential and differential-difference equations

Published online by Cambridge University Press:  01 April 2017

Xueqin Lv  and
Jianfang Gao
Xueqin Lv
Affiliation:
School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, China email [email protected]
Jianfang Gao
Affiliation:
School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, China email [email protected]

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

Primary: 34K10: Boundary value problems
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 20 , Issue 1 , 2017 , pp. 1 - 10
Copyright
© The Author(s) 2017 

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