Homotopy-perturbation method for solving linear and nonlinear differential equation

In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a seq...

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Main Author:	Chowdhury, Md. Sazzad Hossien
Format:	Conference or Workshop Item
Language:	English English English English
Published:	2015
Subjects:	QA Mathematics QA76 Computer software
Online Access:	http://irep.iium.edu.my/44868/ http://irep.iium.edu.my/44868/1/ICMSCE2015-Keynotes-1.pdf http://irep.iium.edu.my/44868/2/Webpage_for_Invited_speakers.pdf http://irep.iium.edu.my/44868/3/ICMSCE2015Program.pdf http://irep.iium.edu.my/44868/11/Certificates_of_presentation.pdf

id	iium-44868
recordtype	eprints
spelling	iium-448682016-01-26T18:13:36Z http://irep.iium.edu.my/44868/ Homotopy-perturbation method for solving linear and nonlinear differential equation Chowdhury, Md. Sazzad Hossien QA Mathematics QA76 Computer software In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the MHPM technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The MHPM is tested for several examples. Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving chaotic and hyperchaotic systems. The results obtained with minimum amount of computational work show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems. 2015 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/44868/1/ICMSCE2015-Keynotes-1.pdf application/pdf en http://irep.iium.edu.my/44868/2/Webpage_for_Invited_speakers.pdf application/pdf en http://irep.iium.edu.my/44868/3/ICMSCE2015Program.pdf application/pdf en http://irep.iium.edu.my/44868/11/Certificates_of_presentation.pdf Chowdhury, Md. Sazzad Hossien (2015) Homotopy-perturbation method for solving linear and nonlinear differential equation. In: 2nd International Conference on Mathematical Sciences & Computer Engineering, 05-06 February 2015, Langkawi, Malaysia,. (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English English
topic	QA Mathematics QA76 Computer software
spellingShingle	QA Mathematics QA76 Computer software Chowdhury, Md. Sazzad Hossien Homotopy-perturbation method for solving linear and nonlinear differential equation
description	In this presentation, the multistage homotopy-perturbation method (MHPM) is considered to solve the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz system. MHPM is a technique adapted from the standard homotopy- perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the MHPM technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The MHPM is tested for several examples. Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving chaotic and hyperchaotic systems. The results obtained with minimum amount of computational work show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems.
format	Conference or Workshop Item
author	Chowdhury, Md. Sazzad Hossien
author_facet	Chowdhury, Md. Sazzad Hossien
author_sort	Chowdhury, Md. Sazzad Hossien
title	Homotopy-perturbation method for solving linear and nonlinear differential equation
title_short	Homotopy-perturbation method for solving linear and nonlinear differential equation
title_full	Homotopy-perturbation method for solving linear and nonlinear differential equation
title_fullStr	Homotopy-perturbation method for solving linear and nonlinear differential equation
title_full_unstemmed	Homotopy-perturbation method for solving linear and nonlinear differential equation
title_sort	homotopy-perturbation method for solving linear and nonlinear differential equation
publishDate	2015
url	http://irep.iium.edu.my/44868/ http://irep.iium.edu.my/44868/1/ICMSCE2015-Keynotes-1.pdf http://irep.iium.edu.my/44868/2/Webpage_for_Invited_speakers.pdf http://irep.iium.edu.my/44868/3/ICMSCE2015Program.pdf http://irep.iium.edu.my/44868/11/Certificates_of_presentation.pdf
first_indexed	2023-09-18T21:03:48Z
last_indexed	2023-09-18T21:03:48Z
_version_	1777410798908342272

Homotopy-perturbation method for solving linear and nonlinear differential equation

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