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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Bibliographic Details
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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Summary: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).