Numerical simulation of the generalized Huxley equation by He's variational iteration method

B. Batiha; M. S.M. Noorani; I. Hashim

doi:10.1016/j.amc.2006.07.166

Numerical simulation of the generalized Huxley equation by He's variational iteration method

B. Batiha
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

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

61 Scopus citations

Abstract

By means of variational iteration method the solution of generalized Huxley equation are obtained, comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.

Original language	English
Pages (from-to)	1322-1325
Number of pages	4
Journal	Applied Mathematics and Computation
Volume	186
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.07.166
State	Published - 15 Mar 2007
Externally published	Yes

Keywords

Adomian decomposition method
Huxley equation
Lagrange multiplier
Nonlinear PDE
Variational iteration method

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10.1016/j.amc.2006.07.166

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title = "Numerical simulation of the generalized Huxley equation by He's variational iteration method",

abstract = "By means of variational iteration method the solution of generalized Huxley equation are obtained, comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.",

keywords = "Adomian decomposition method, Huxley equation, Lagrange multiplier, Nonlinear PDE, Variational iteration method",

author = "B. Batiha and Noorani, \{M. S.M.\} and I. Hashim",

year = "2007",

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AU - Batiha, B.

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2007/3/15

Y1 - 2007/3/15

N2 - By means of variational iteration method the solution of generalized Huxley equation are obtained, comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.

AB - By means of variational iteration method the solution of generalized Huxley equation are obtained, comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.

KW - Adomian decomposition method

KW - Huxley equation

KW - Lagrange multiplier

KW - Nonlinear PDE

KW - Variational iteration method

UR - https://www.scopus.com/pages/publications/33947705255

U2 - 10.1016/j.amc.2006.07.166

DO - 10.1016/j.amc.2006.07.166

M3 - Article

AN - SCOPUS:33947705255

SN - 0096-3003

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EP - 1325

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Numerical simulation of the generalized Huxley equation by He's variational iteration method

Abstract

Keywords

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