Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs

I. Hashim; M. S.H. Chowdhury

doi:10.1016/j.physleta.2007.07.067

Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs

I. Hashim
, M. S.H. Chowdhury

Universiti Kebangsaan Malaysia

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

50 Scopus citations

Abstract

A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated, for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the Multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge-Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs.

Original language	English
Pages (from-to)	470-481
Number of pages	12
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	4
DOIs	https://doi.org/10.1016/j.physleta.2007.07.067
State	Published - 21 Jan 2008
Externally published	Yes

Keywords

Homotopy-perturbation method
Runge-Kutta method
System of ODEs

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10.1016/j.physleta.2007.07.067

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title = "Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs",

abstract = "A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated, for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the Multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge-Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs.",

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AU - Chowdhury, M. S.H.

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N2 - A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated, for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the Multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge-Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs.

AB - A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated, for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the Multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge-Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs.

KW - Homotopy-perturbation method

KW - Runge-Kutta method

KW - System of ODEs

UR - https://www.scopus.com/pages/publications/37549072668

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DO - 10.1016/j.physleta.2007.07.067

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SN - 0375-9601

VL - 372

SP - 470

EP - 481

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

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

IS - 4

ER -

Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs

Abstract

Keywords

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