Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 490342, 14 pages.
Rational Homotopy Perturbation Method
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.
J. Appl. Math., Volume 2012 (2012), Article ID 490342, 14 pages.
First available in Project Euclid: 2 January 2013
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Vázquez-Leal, Héctor. Rational Homotopy Perturbation Method. J. Appl. Math. 2012 (2012), Article ID 490342, 14 pages. doi:10.1155/2012/490342. https://projecteuclid.org/euclid.jam/1357153500