Cover Image

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...

Full description

Saved in:
Bibliographic Details
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/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf
http://irep.iium.edu.my/2245/
http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/applied_maths/AM-Chowdhury.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.iium.irep.2245
record_format dspace
spelling my.iium.irep.22452020-06-17T08:20:34Z 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf
http://irep.iium.edu.my/2245/
http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/applied_maths/AM-Chowdhury.pdf
_version_ 1672610056641708032
score 13.159267

Similar Items