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A new modification of the homotopy perturbation method


Citation

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

Abstract

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).


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Ansari Education and Research Society
Keywords: New modification; Homotopy; Perturbation method
Depositing User: Nabilah Mustapa
Date Deposited: 11 Jun 2018 08:33
Last Modified: 11 Jun 2018 08:33
URI: http://psasir.upm.edu.my/id/eprint/12750
Statistic Details: View Download Statistic

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