Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method

Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method

In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, I., Hosen, Md. Alal
Format: Article
Language:English
Published: Institute of Research and Journals 2017
Subjects:
QA297 Numerical Analysis
Online Access:http://irep.iium.edu.my/67380/
http://irep.iium.edu.my/67380/
http://irep.iium.edu.my/67380/1/International%20Journal%20of%20Management%20and%20Applied%20Science-%20ISSN%20%202394-7926%20.pdf
id iium-67380
recordtype eprints
spelling iium-673802018-11-09T08:30:22Z http://irep.iium.edu.my/67380/ Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal QA297 Numerical Analysis In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential equations. Institute of Research and Journals 2017-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/67380/1/International%20Journal%20of%20Management%20and%20Applied%20Science-%20ISSN%20%202394-7926%20.pdf Chowdhury, Md. Sazzad Hossien and Hashim, I. and Hosen, Md. Alal (2017) Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method. International Journal of Management and Applied Science, 3 (2). pp. 59-62. ISSN 2394-7926 http://www.iraj.in/journal/journal_file/journal_pdf/14-348-149456569159-62.pdf
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA297 Numerical Analysis
spellingShingle QA297 Numerical Analysis
Chowdhury, Md. Sazzad Hossien
Hashim, I.
Hosen, Md. Alal
Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
description In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential equations.
format Article
author Chowdhury, Md. Sazzad Hossien
Hashim, I.
Hosen, Md. Alal
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, I.
Hosen, Md. Alal
author_sort Chowdhury, Md. Sazzad Hossien
title Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
title_short Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
title_full Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
title_fullStr Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
title_full_unstemmed Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
title_sort solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
publisher Institute of Research and Journals
publishDate 2017
url http://irep.iium.edu.my/67380/
http://irep.iium.edu.my/67380/
http://irep.iium.edu.my/67380/1/International%20Journal%20of%20Management%20and%20Applied%20Science-%20ISSN%20%202394-7926%20.pdf
first_indexed 2023-09-18T21:35:40Z
last_indexed 2023-09-18T21:35:40Z
_version_ 1777412803830743040

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