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

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...

Full description

Bibliographic Details
Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Ismail, Ahmad Faris
Format: Conference or Workshop Item
Language:English
Published: 2010
Subjects:
QA76 Computer software
Online Access:http://irep.iium.edu.my/2266/
http://irep.iium.edu.my/2266/
http://irep.iium.edu.my/2266/1/Analytical_Treatment_of_System_of_Linear_and_Nonlinear_PDEs_by_Homotopy-Perturbation_method.pdf
id iium-2266
recordtype eprints
spelling iium-22662011-10-04T04:22:56Z 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/
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
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/
http://irep.iium.edu.my/2266/
http://irep.iium.edu.my/2266/1/Analytical_Treatment_of_System_of_Linear_and_Nonlinear_PDEs_by_Homotopy-Perturbation_method.pdf
first_indexed 2023-09-18T20:09:48Z
last_indexed 2023-09-18T20:09:48Z
_version_ 1777407401812557824

Similar Items