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

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

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. Nu...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
Format: Article
Language:English
Published: Elsevier 2008
Subjects:
QA76 Computer software
Online Access:http://irep.iium.edu.my/6638/
http://irep.iium.edu.my/6638/
http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf
id iium-6638
recordtype eprints
spelling iium-66382011-12-01T08:11:16Z http://irep.iium.edu.my/6638/ Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software 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. Elsevier 2008 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2008) Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs. Physics Letters A, 372 . pp. 470-481. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA76 Computer software
spellingShingle QA76 Computer software
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
description 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.
format Article
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
author_sort Chowdhury, Md. Sazzad Hossien
title Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
title_short Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
title_full Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
title_fullStr Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
title_full_unstemmed Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
title_sort adaptation of homotopy-perturbation method for numeric–analytic solution of system of odes
publisher Elsevier
publishDate 2008
url http://irep.iium.edu.my/6638/
http://irep.iium.edu.my/6638/
http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf
first_indexed 2023-09-18T20:15:42Z
last_indexed 2023-09-18T20:15:42Z
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