Rational Homotopy Perturbation Method
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Vazquez-Leal, Hector. 2012. Rational Homotopy Perturbation Method. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993305
Modern Language Association (MLA)
Vazquez-Leal, Hector. Rational Homotopy Perturbation Method. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993305
American Medical Association (AMA)
Vazquez-Leal, Hector. Rational Homotopy Perturbation Method. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993305
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993305