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...

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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
Descripción
Sumario: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

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