Rational Homotopy Perturbation Method

Héctor Vázquez-Leal

Journal of Applied Mathematics, 2012, vol. 2012, 1-14

Abstract:

The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method (RHPM) as a novel tool with high potential to find approximate solutions for nonlinear differential equations. We present two case studies; for the first example, a comparison between the proposed method and the HPM method is presented; it will show how the RHPM generates highly accurate approximate solutions requiring less iteration, in comparison to results obtained by the HPM method. For the second example, which is a Van der Pol oscillator problem, we compare RHPM, HPM, and VIM, finding out that RHPM method generates the most accurate approximated solution.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:490342

DOI: 10.1155/2012/490342

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