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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...

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Main Authors: Chaharborj, Sarkhosh Seddighi, Abu Bakar, Mohd Rizam, Abu Hassan, Malik, Mohd Atan, Kamel Ariffin, Ibrahim, Noor Akma
Format: Article
Language:English
Published: Ansari Education and Research Society 2010
Online Access:http://psasir.upm.edu.my/id/eprint/12750/1/A%20new%20modification%20of%20the%20homotopy%20perturbation%20method.pdf
http://psasir.upm.edu.my/id/eprint/12750/
http://www.ultrascientist.org/paper/1059/a-new-modification-of-the-homotopy-perturbation-method
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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).
format Article
author Chaharborj, Sarkhosh Seddighi
Abu Bakar, Mohd Rizam
Abu Hassan, Malik
Mohd Atan, Kamel Ariffin
Ibrahim, Noor Akma
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
author_facet Chaharborj, Sarkhosh Seddighi
Abu Bakar, Mohd Rizam
Abu Hassan, Malik
Mohd Atan, Kamel Ariffin
Ibrahim, Noor Akma
author_sort Chaharborj, Sarkhosh Seddighi
title A new modification of the homotopy perturbation method
title_short 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_sort new modification of the homotopy perturbation method
publisher Ansari Education and Research Society
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/12750/1/A%20new%20modification%20of%20the%20homotopy%20perturbation%20method.pdf
http://psasir.upm.edu.my/id/eprint/12750/
http://www.ultrascientist.org/paper/1059/a-new-modification-of-the-homotopy-perturbation-method
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score 13.211869

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