Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method

In this paper, the homotopy-perturbation method (HPM)proposed by J.-H. He is adopted for solving linear and nonlinear systems of partial differential equations (PDEs). In this method, a homotopy parameter p, which takes the values from 0 to 1, is introduced. When p = 0, the system of equations usua...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Ismail, Ahmad Faris, Rahman, M. M., Momani, Shaher Mohammad
Format:	Article
Language:	English
Published:	INSI Publications 2011
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/19547/ http://irep.iium.edu.my/19547/ http://irep.iium.edu.my/19547/1/Exact_Solution_for_Linear_and_Nonlinear_Systems_of_Pdes_by_Homotopy-Perturbation_Method.pdf

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spelling	iium-195472012-02-17T03:56:33Z http://irep.iium.edu.my/19547/ Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris Rahman, M. M. Momani, Shaher Mohammad QA76 Computer software In this paper, the homotopy-perturbation method (HPM)proposed by J.-H. He is adopted for solving linear and nonlinear systems of partial differential equations (PDEs). In this method, a homotopy parameter p, which takes the values from 0 to 1, is introduced. When p = 0, the system of equations usually reduces to a sufficiently simplified form, which normally admits a rather simple solution. As p gradually increases to 1, the system goes through a sequence of ‘deformations’, the solution of each of which is ‘close’ to that at the previous stage of ‘deformation’. Eventually at p = 1,the system takes the original form of the equation and the final stage of ‘deformation’ gives the desired solution. Some examples are presented to demonstrate the efficiency and simplicity of the method. INSI Publications 2011-12-20 Article PeerReviewed application/pdf en http://irep.iium.edu.my/19547/1/Exact_Solution_for_Linear_and_Nonlinear_Systems_of_Pdes_by_Homotopy-Perturbation_Method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Ismail, Ahmad Faris and Rahman, M. M. and Momani, Shaher Mohammad (2011) Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method. Australian Journal of Basic and Applied Sciences, 5 (12). pp. 3295-3305. ISSN 1991-8178 http://www.insipub.com/ajbas/2011/December-2011/3295-3305.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 Hashim, Ishak Ismail, Ahmad Faris Rahman, M. M. Momani, Shaher Mohammad Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
description	In this paper, the homotopy-perturbation method (HPM)proposed by J.-H. He is adopted for solving linear and nonlinear systems of partial differential equations (PDEs). In this method, a homotopy parameter p, which takes the values from 0 to 1, is introduced. When p = 0, the system of equations usually reduces to a sufficiently simplified form, which normally admits a rather simple solution. As p gradually increases to 1, the system goes through a sequence of ‘deformations’, the solution of each of which is ‘close’ to that at the previous stage of ‘deformation’. Eventually at p = 1,the system takes the original form of the equation and the final stage of ‘deformation’ gives the desired solution. Some examples are presented to demonstrate the efficiency and simplicity of the method.
format	Article
author	Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris Rahman, M. M. Momani, Shaher Mohammad
author_facet	Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris Rahman, M. M. Momani, Shaher Mohammad
author_sort	Chowdhury, Md. Sazzad Hossien
title	Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
title_short	Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
title_full	Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
title_fullStr	Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
title_full_unstemmed	Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
title_sort	exact solution for linear and nonlinear systems of pdes by homotopy-perturbation method
publisher	INSI Publications
publishDate	2011
url	http://irep.iium.edu.my/19547/ http://irep.iium.edu.my/19547/ http://irep.iium.edu.my/19547/1/Exact_Solution_for_Linear_and_Nonlinear_Systems_of_Pdes_by_Homotopy-Perturbation_Method.pdf
first_indexed	2023-09-18T20:29:11Z
last_indexed	2023-09-18T20:29:11Z
_version_	1777408621352583168

Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method

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