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-analyt...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, I., Hosen, Md. Alal
Format: Conference or Workshop Item
Language:English
Published: IRAJ Research Forum 2016
Subjects:
Online Access:http://irep.iium.edu.my/55185/
http://irep.iium.edu.my/55185/1/Procceding-ICSTEM16-IREF.pdf
id iium-55185
recordtype eprints
spelling iium-551852017-03-08T01:31:08Z http://irep.iium.edu.my/55185/ 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 QA76 Computer software 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. IRAJ Research Forum 2016 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/55185/1/Procceding-ICSTEM16-IREF.pdf Chowdhury, Md. Sazzad Hossien and Hashim, I. and Hosen, Md. Alal (2016) Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method. In: ISERD International Conference, 24-25 December 2016, Jeddah, Saudi Arabia.
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, 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 Conference or Workshop Item
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 IRAJ Research Forum
publishDate 2016
url http://irep.iium.edu.my/55185/
http://irep.iium.edu.my/55185/1/Procceding-ICSTEM16-IREF.pdf
first_indexed 2023-09-18T21:18:01Z
last_indexed 2023-09-18T21:18:01Z
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