Power Series Extender Method for the Solution of Nonlinear Differential Equations
Joint Authors
Sarmiento-Reyes, Arturo
Vazquez-Leal, Hector
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We propose a power series extender method to obtain approximate solutionsof nonlinear differential equations.
In order to assess the benefits of this proposal, three nonlinearproblems of different kind are solved and compared against the power series solution obtained usingan approximative method.
The problems are homogeneous Lane-Emden equation of α index, governingequation of a burning iron particle, and an explicit differential-algebraic equation related to batterymodel simulations.
The results show that PSEM generates highly accurate handy approximationsrequiring only a few steps.
The main advantage of PSEM is to extend the domain of convergence ofthe power series solutions of approximative methods as Taylor series method, homotopy perturbationmethod, homotopy analysis method, variational iteration method, differential transform method, and Adomiandecomposition method, among many others.
From the application of PSEM, it results in handy easycomputable expressions that extend the domain of convergence of high order power series solutions.
American Psychological Association (APA)
Vazquez-Leal, Hector& Sarmiento-Reyes, Arturo. 2015. Power Series Extender Method for the Solution of Nonlinear Differential Equations. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1074563
Modern Language Association (MLA)
Vazquez-Leal, Hector& Sarmiento-Reyes, Arturo. Power Series Extender Method for the Solution of Nonlinear Differential Equations. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1074563
American Medical Association (AMA)
Vazquez-Leal, Hector& Sarmiento-Reyes, Arturo. Power Series Extender Method for the Solution of Nonlinear Differential Equations. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1074563
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074563