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...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848775979314446336 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:22:48Z |
| format | Proceeding Paper |
| id | iium-2266 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:22:48Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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 Proceeding Paper 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/ |
| 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 |
| title | 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_short | 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 |
| topic | QA76 Computer software |
| 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 |