A new modification of the homotopy perturbation method
In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method (MHPM) and the classical homotopy perturbatio...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Ansari Education and Research Society
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12750/ http://psasir.upm.edu.my/id/eprint/12750/1/A%20new%20modification%20of%20the%20homotopy%20perturbation%20method.pdf |
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| author | Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Abu Hassan, Malik Mohd Atan, Kamel Ariffin Ibrahim, Noor Akma |
| author_facet | Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Abu Hassan, Malik Mohd Atan, Kamel Ariffin Ibrahim, Noor Akma |
| author_sort | Chaharborj, Sarkhosh Seddighi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method (MHPM) and the classical homotopy perturbation method (HPM) is conducted. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHPM. The numerical results obtained from the MHPM and HPM are compared with the fourth-order Runge-Kutta method (RKM). |
| first_indexed | 2025-11-15T07:50:54Z |
| format | Article |
| id | upm-12750 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:50:54Z |
| publishDate | 2010 |
| publisher | Ansari Education and Research Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-127502018-06-11T08:33:00Z http://psasir.upm.edu.my/id/eprint/12750/ A new modification of the homotopy perturbation method Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Abu Hassan, Malik Mohd Atan, Kamel Ariffin Ibrahim, Noor Akma In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method (MHPM) and the classical homotopy perturbation method (HPM) is conducted. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHPM. The numerical results obtained from the MHPM and HPM are compared with the fourth-order Runge-Kutta method (RKM). Ansari Education and Research Society 2010 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/12750/1/A%20new%20modification%20of%20the%20homotopy%20perturbation%20method.pdf Chaharborj, Sarkhosh Seddighi and Abu Bakar, Mohd Rizam and Abu Hassan, Malik and Mohd Atan, Kamel Ariffin and Ibrahim, Noor Akma (2010) A new modification of the homotopy perturbation method. Journal of Ultra Scientist of Physical Sciences, 22 (1). pp. 309-316. ISSN 2231-346X; ESSN: 2319-8044 http://www.ultrascientist.org/paper/1059/a-new-modification-of-the-homotopy-perturbation-method |
| spellingShingle | Chaharborj, Sarkhosh Seddighi Abu Bakar, Mohd Rizam Abu Hassan, Malik Mohd Atan, Kamel Ariffin Ibrahim, Noor Akma A new modification of the homotopy perturbation method |
| title | A new modification of the homotopy perturbation method |
| title_full | A new modification of the homotopy perturbation method |
| title_fullStr | A new modification of the homotopy perturbation method |
| title_full_unstemmed | A new modification of the homotopy perturbation method |
| title_short | A new modification of the homotopy perturbation method |
| title_sort | new modification of the homotopy perturbation method |
| url | http://psasir.upm.edu.my/id/eprint/12750/ http://psasir.upm.edu.my/id/eprint/12750/ http://psasir.upm.edu.my/id/eprint/12750/1/A%20new%20modification%20of%20the%20homotopy%20perturbation%20method.pdf |