An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations

In this article, we proposed an auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations. This method is called the Auxiliary Laplace Parameter Method (ALPM). The nonlinear terms can be easily handled by the use of Adomian polynomials. Comp...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 37; no. 5; pp. 2702 - 2708
Main Authors Khan, Y., Vázquez-Leal, H., Faraz, N.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2013
Subjects
Adomian polynomials
Auxiliary parameter
Laplace transform
Nonlinear problems
Nonlinear problems
Adomian polynomials
Laplace transform
Auxiliary parameter
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Summary:In this article, we proposed an auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations. This method is called the Auxiliary Laplace Parameter Method (ALPM). The nonlinear terms can be easily handled by the use of Adomian polynomials. Comparison of the present solution is made with the existing solutions and excellent agreement is noted. The fact that the proposed technique solves nonlinear problems without any discretization or restrictive assumptions can be considered as a clear advantage of this algorithm over the numerical methods.
ISSN:0307-904X
DOI:10.1016/j.apm.2012.06.026