Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version
Joint Authors
Sarmiento-Reyes, Arturo
Khan, Yasir
Diaz-Sanchez, Alejandro
Filobello-Niño, Uriel
Vazquez-Leal, Hector
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-02
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The fact that most of the physical phenomena are modelled by nonlinear differential equations underlines the importance of having reliable methods for solving them.
This work presents the rational biparameter homotopy perturbation method (RBHPM) as a novel tool with the potential to find approximate solutions for nonlinear differential equations.
The method generates the solutions in the form of a quotient of two power series of different homotopy parameters.
Besides, in order to improve accuracy, we propose the Laplace-Padé rational biparameter homotopy perturbation method (LPRBHPM), when the solution is expressed as the quotient of two truncated power series.
The usage of the method is illustrated with two case studies.
On one side, a Ricatti nonlinear differential equation is solved and a comparison with the homotopy perturbation method (HPM) is presented.
On the other side, a nonforced Van der Pol Oscillator is analysed and we compare results obtained with RBHPM, LPRBHPM, and HPM in order to conclude that the LPRBHPM and RBHPM methods generate the most accurate approximated solutions.
American Psychological Association (APA)
Vazquez-Leal, Hector& Sarmiento-Reyes, Arturo& Khan, Yasir& Filobello-Niño, Uriel& Diaz-Sanchez, Alejandro. 2012. Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-993847
Modern Language Association (MLA)
Vazquez-Leal, Hector…[et al.]. Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-993847
American Medical Association (AMA)
Vazquez-Leal, Hector& Sarmiento-Reyes, Arturo& Khan, Yasir& Filobello-Niño, Uriel& Diaz-Sanchez, Alejandro. Rational Biparameter Homotopy Perturbation Method and Laplace-Padé Coupled Version. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-993847
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993847