GHM method for obtaining rationalsolutions of nonlinear differential equations

In this paper, we propose the application of the general homotopy method (GHM) to obtain rational solutions of nonlinear differential equations. It delivers a high precision representation of the nonlinear differential equation using a few linear algebraic terms. In order to assess the benefits of t...

Descripción completa

Detalles Bibliográficos
Autores principales: Vazquez-Leal, Hector, Sarmiento-Reyes, Arturo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4463959/
https://www.ncbi.nlm.nih.gov/pubmed/26085972
http://dx.doi.org/10.1186/s40064-015-1011-x
_version_ 1782375861946679296
author Vazquez-Leal, Hector
Sarmiento-Reyes, Arturo
author_facet Vazquez-Leal, Hector
Sarmiento-Reyes, Arturo
author_sort Vazquez-Leal, Hector
collection PubMed
description In this paper, we propose the application of the general homotopy method (GHM) to obtain rational solutions of nonlinear differential equations. It delivers a high precision representation of the nonlinear differential equation using a few linear algebraic terms. In order to assess the benefits of this proposal, three nonlinear problems are solved and compared against other semi-analytic methods or numerical methods. The obtained results show that GHM is a powerful tool, capable to generate highly accurate rational solutions. AMS subject classification 34L30
format Online
Article
Text
id pubmed-4463959
institution National Center for Biotechnology Information
language English
publishDate 2015
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-44639592015-06-17 GHM method for obtaining rationalsolutions of nonlinear differential equations Vazquez-Leal, Hector Sarmiento-Reyes, Arturo Springerplus Research In this paper, we propose the application of the general homotopy method (GHM) to obtain rational solutions of nonlinear differential equations. It delivers a high precision representation of the nonlinear differential equation using a few linear algebraic terms. In order to assess the benefits of this proposal, three nonlinear problems are solved and compared against other semi-analytic methods or numerical methods. The obtained results show that GHM is a powerful tool, capable to generate highly accurate rational solutions. AMS subject classification 34L30 Springer International Publishing 2015-06-04 /pmc/articles/PMC4463959/ /pubmed/26085972 http://dx.doi.org/10.1186/s40064-015-1011-x Text en © Vazquez-Leal and Sarmiento-Reyes. 2015 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
spellingShingle Research
Vazquez-Leal, Hector
Sarmiento-Reyes, Arturo
GHM method for obtaining rationalsolutions of nonlinear differential equations
title GHM method for obtaining rationalsolutions of nonlinear differential equations
title_full GHM method for obtaining rationalsolutions of nonlinear differential equations
title_fullStr GHM method for obtaining rationalsolutions of nonlinear differential equations
title_full_unstemmed GHM method for obtaining rationalsolutions of nonlinear differential equations
title_short GHM method for obtaining rationalsolutions of nonlinear differential equations
title_sort ghm method for obtaining rationalsolutions of nonlinear differential equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4463959/
https://www.ncbi.nlm.nih.gov/pubmed/26085972
http://dx.doi.org/10.1186/s40064-015-1011-x
work_keys_str_mv AT vazquezlealhector ghmmethodforobtainingrationalsolutionsofnonlineardifferentialequations
AT sarmientoreyesarturo ghmmethodforobtainingrationalsolutionsofnonlineardifferentialequations

Ejemplares similares