Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method

In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solution to the linear and nonlinear systems of partial di®erential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the ex...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Ismail, Ahmad Faris
Format: Conference or Workshop Item
Language:English
Published: 2010
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Online Access:http://irep.iium.edu.my/2266/1/Analytical_Treatment_of_System_of_Linear_and_Nonlinear_PDEs_by_Homotopy-Perturbation_method.pdf
http://irep.iium.edu.my/2266/
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spelling my.iium.irep.22662020-06-23T06:15:37Z http://irep.iium.edu.my/2266/ Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak Ismail, Ahmad Faris QA76 Computer software In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solution to the linear and nonlinear systems of partial di®erential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the exact solution or its expansion is obtained without any noise terms. Test examples demonstrate the e±ciency of HPM. 2010 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/2266/1/Analytical_Treatment_of_System_of_Linear_and_Nonlinear_PDEs_by_Homotopy-Perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Ismail, Ahmad Faris (2010) Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method. In: World Congress on Engineering (WCE) 2010, June 30 - July 2, 2010,, London, U.K.. http://www.iaeng.org/WCE2010/
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
Hashim, Ishak
Ismail, Ahmad Faris
Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
description In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solution to the linear and nonlinear systems of partial di®erential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the exact solution or its expansion is obtained without any noise terms. Test examples demonstrate the e±ciency of HPM.
format Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Ismail, Ahmad Faris
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Ismail, Ahmad Faris
author_sort Chowdhury, Md. Sazzad Hossien
title Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
title_short Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
title_full Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
title_fullStr Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
title_full_unstemmed Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
title_sort analytical treatment of system of linear and nonlinear pdes by homotopy-perturbation method
publishDate 2010
url http://irep.iium.edu.my/2266/1/Analytical_Treatment_of_System_of_Linear_and_Nonlinear_PDEs_by_Homotopy-Perturbation_method.pdf
http://irep.iium.edu.my/2266/
http://www.iaeng.org/WCE2010/
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score 13.154949