Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method

M. S.H. Chowdhury; I. Hashim

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method

M. S.H. Chowdhury
, I. Hashim

International Islamic University Malaysia
Universiti Kebangsaan Malaysia

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

6 Scopus citations

Abstract

In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.

Original language	English
Pages (from-to)	495-504
Number of pages	10
Journal	Sains Malaysiana
Volume	39
Issue number	3
State	Published - Jun 2010
Externally published	Yes

Keywords

Cauchy problems
Homotopy-perturbation method
Reaction-diffusion equation

Cite this

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title = "Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method",

abstract = "In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.",

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AU - Chowdhury, M. S.H.

AU - Hashim, I.

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N2 - In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.

AB - In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.

KW - Cauchy problems

KW - Homotopy-perturbation method

KW - Reaction-diffusion equation

UR - https://www.scopus.com/pages/publications/77954251408

M3 - Article

AN - SCOPUS:77954251408

SN - 0126-6039

VL - 39

SP - 495

EP - 504

JO - Sains Malaysiana

JF - Sains Malaysiana

IS - 3

ER -

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method

Abstract

Keywords

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