A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems

A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems

In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hassan, Talib Hashim, Ismail, Ahmad Faris
Format: Conference or Workshop Item
Language:English
Published: 2010
Subjects:
QA76 Computer software
Online Access:http://irep.iium.edu.my/2245/
http://irep.iium.edu.my/2245/
http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf
id iium-2245
recordtype eprints
spelling iium-22452011-10-13T08:21:10Z http://irep.iium.edu.my/2245/ A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems Chowdhury, Md. Sazzad Hossien Hassan, Talib Hashim Ismail, Ahmad Faris QA76 Computer software In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this method is examined by comparison with the Adomian decomposition method (ADM). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations. 2010 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf Chowdhury, Md. Sazzad Hossien and Hassan, Talib Hashim and Ismail, Ahmad Faris (2010) A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems. In: 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010), 3-4 November, 2010, Kuala Lumpur, Malaysia. http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/applied_maths/AM-Chowdhury.pdf
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
Hassan, Talib Hashim
Ismail, Ahmad Faris
A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
description In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this method is examined by comparison with the Adomian decomposition method (ADM). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations.
format Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Hassan, Talib Hashim
Ismail, Ahmad Faris
author_facet Chowdhury, Md. Sazzad Hossien
Hassan, Talib Hashim
Ismail, Ahmad Faris
author_sort Chowdhury, Md. Sazzad Hossien
title A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
title_short A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
title_full A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
title_fullStr A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
title_full_unstemmed A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
title_sort modified algorithm for the homotopy perturbation method with applications to lotka-volterra systems
publishDate 2010
url http://irep.iium.edu.my/2245/
http://irep.iium.edu.my/2245/
http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf
first_indexed 2023-09-18T20:09:47Z
last_indexed 2023-09-18T20:09:47Z
_version_ 1777407400067727360

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