The homotopy analysis method for Cauchy reaction-diffusion problems

A. Sami Bataineh; M. S.M. Noorani; I. Hashim

doi:10.1016/j.physleta.2007.07.069

The homotopy analysis method for Cauchy reaction-diffusion problems

A. Sami Bataineh
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

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

57 Scopus citations

Abstract

In this Letter, the homotopy analysis method (HAM) is employed to obtain a family of series solutions of the time-dependent reaction-diffusion problems. HAM provides a convenient way of controlling the convergence region and rate of the series solution.

Original language	English
Pages (from-to)	613-618
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	5
DOIs	https://doi.org/10.1016/j.physleta.2007.07.069
State	Published - 28 Jan 2008
Externally published	Yes

Keywords

Homotopy analysis method
Reaction-diffusion equation

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10.1016/j.physleta.2007.07.069

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title = "The homotopy analysis method for Cauchy reaction-diffusion problems",

abstract = "In this Letter, the homotopy analysis method (HAM) is employed to obtain a family of series solutions of the time-dependent reaction-diffusion problems. HAM provides a convenient way of controlling the convergence region and rate of the series solution.",

keywords = "Homotopy analysis method, Reaction-diffusion equation",

author = "Bataineh, \{A. Sami\} and Noorani, \{M. S.M.\} and I. Hashim",

year = "2008",

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doi = "10.1016/j.physleta.2007.07.069",

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T1 - The homotopy analysis method for Cauchy reaction-diffusion problems

AU - Bataineh, A. Sami

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2008/1/28

Y1 - 2008/1/28

N2 - In this Letter, the homotopy analysis method (HAM) is employed to obtain a family of series solutions of the time-dependent reaction-diffusion problems. HAM provides a convenient way of controlling the convergence region and rate of the series solution.

AB - In this Letter, the homotopy analysis method (HAM) is employed to obtain a family of series solutions of the time-dependent reaction-diffusion problems. HAM provides a convenient way of controlling the convergence region and rate of the series solution.

KW - Homotopy analysis method

KW - Reaction-diffusion equation

UR - https://www.scopus.com/pages/publications/38049015848

U2 - 10.1016/j.physleta.2007.07.069

DO - 10.1016/j.physleta.2007.07.069

M3 - Article

AN - SCOPUS:38049015848

SN - 0375-9601

VL - 372

SP - 613

EP - 618

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5

ER -

The homotopy analysis method for Cauchy reaction-diffusion problems

Abstract

Keywords

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