Solving the generalized Burgers-Huxley equation using the Adomian decomposition method

I. Hashim; M. S.M. Noorani; M. R. Said Al-Hadidi

doi:10.1016/j.mcm.2005.08.017

Solving the generalized Burgers-Huxley equation using the Adomian decomposition method

I. Hashim
, M. S.M. Noorani
, M. R. Said Al-Hadidi

Universiti Kebangsaan Malaysia

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

129 Scopus citations

Abstract

In this paper, a convergence proof of the Adomian decomposition method (ADM) applied to the generalized nonlinear Burgers-Huxley equation is presented. The decomposition scheme obtained from the ADM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.

Original language	English
Pages (from-to)	1404-1411
Number of pages	8
Journal	Mathematical and Computer Modelling
Volume	43
Issue number	11-12
DOIs	https://doi.org/10.1016/j.mcm.2005.08.017
State	Published - Jun 2006
Externally published	Yes

Keywords

Adomian decomposition method
Burgers-Huxley equation
Nonlinear PDE

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10.1016/j.mcm.2005.08.017

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title = "Solving the generalized Burgers-Huxley equation using the Adomian decomposition method",

abstract = "In this paper, a convergence proof of the Adomian decomposition method (ADM) applied to the generalized nonlinear Burgers-Huxley equation is presented. The decomposition scheme obtained from the ADM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.",

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author = "I. Hashim and Noorani, \{M. S.M.\} and \{Said Al-Hadidi\}, \{M. R.\}",

year = "2006",

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AU - Hashim, I.

AU - Noorani, M. S.M.

AU - Said Al-Hadidi, M. R.

PY - 2006/6

Y1 - 2006/6

N2 - In this paper, a convergence proof of the Adomian decomposition method (ADM) applied to the generalized nonlinear Burgers-Huxley equation is presented. The decomposition scheme obtained from the ADM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.

AB - In this paper, a convergence proof of the Adomian decomposition method (ADM) applied to the generalized nonlinear Burgers-Huxley equation is presented. The decomposition scheme obtained from the ADM yields an analytical solution in the form of a rapidly convergent series. The direct symbolic-numeric scheme is shown to be efficient and accurate.

KW - Adomian decomposition method

KW - Burgers-Huxley equation

KW - Nonlinear PDE

UR - https://www.scopus.com/pages/publications/33646136008

U2 - 10.1016/j.mcm.2005.08.017

DO - 10.1016/j.mcm.2005.08.017

M3 - Article

AN - SCOPUS:33646136008

SN - 0895-7177

VL - 43

SP - 1404

EP - 1411

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11-12

ER -

Solving the generalized Burgers-Huxley equation using the Adomian decomposition method

Abstract

Keywords

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