On the numerical solution of linear stiff IVPs by modified homotopy perturbation method

On the numerical solution of linear stiff IVPs by modified homotopy perturbation method

In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. I...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Rahman, Md. Mahmudur
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
QA76 Computer software
Online Access:http://irep.iium.edu.my/2103/
http://irep.iium.edu.my/2103/
http://irep.iium.edu.my/2103/1/On_the_numerical_solution_of_linear_stiff_IVPs_by_modified_homotopy_perturbation_method.pdf
id iium-2103
recordtype eprints
spelling iium-21032011-09-12T06:55:01Z http://irep.iium.edu.my/2103/ On the numerical solution of linear stiff IVPs by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak Rahman, Md. Mahmudur QA76 Computer software In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. In this work, a class of linear stiff initial value problems (IVPs) are solved by the classical homotopy per-turbation method (HPM), modified homotopy perturbation method and an explicit Runge-Kutta-type method (RK). Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving stiff IVPs. The results prove that the modified HPM is a powerful tool for the solution of linear stiff IVPs. 2011 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/2103/1/On_the_numerical_solution_of_linear_stiff_IVPs_by_modified_homotopy_perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Rahman, Md. Mahmudur (2011) On the numerical solution of linear stiff IVPs by modified homotopy perturbation method. In: The 7th IMT-GT International Conference on Mathematics, Statistics and its Applications, 21 - 23 July 2011, The Pullman Bangkok King Power Hotel, Thailand. http://icmsa2011.nida.ac.th/html/introduction.html
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
Rahman, Md. Mahmudur
On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
description In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. In this work, a class of linear stiff initial value problems (IVPs) are solved by the classical homotopy per-turbation method (HPM), modified homotopy perturbation method and an explicit Runge-Kutta-type method (RK). Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving stiff IVPs. The results prove that the modified HPM is a powerful tool for the solution of linear stiff IVPs.
format Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Rahman, Md. Mahmudur
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Rahman, Md. Mahmudur
author_sort Chowdhury, Md. Sazzad Hossien
title On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
title_short On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
title_full On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
title_fullStr On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
title_full_unstemmed On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
title_sort on the numerical solution of linear stiff ivps by modified homotopy perturbation method
publishDate 2011
url http://irep.iium.edu.my/2103/
http://irep.iium.edu.my/2103/
http://irep.iium.edu.my/2103/1/On_the_numerical_solution_of_linear_stiff_IVPs_by_modified_homotopy_perturbation_method.pdf
first_indexed 2023-09-18T20:09:38Z
last_indexed 2023-09-18T20:09:38Z
_version_ 1777407390586503168

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