Nonlinearities distribution Laplace transform-homotopy perturbation method

This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with n...

Descripción completa

Detalles Bibliográficos
Autores principales: Filobello-Nino, Uriel, Vazquez-Leal, Hector, Benhammouda, Brahim, Hernandez-Martinez, Luis, Hoyos-Reyes, Claudio, Perez-Sesma, Jose Antonio Agustin, Jimenez-Fernandez, Victor Manuel, Pereyra-Diaz, Domitilo, Marin-Hernandez, Antonio, Diaz-Sanchez, Alejandro, Huerta-Chua, Jesus, Cervantes-Perez, Juan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4203791/
https://www.ncbi.nlm.nih.gov/pubmed/25392771
http://dx.doi.org/10.1186/2193-1801-3-594
_version_ 1782340433056104448
author Filobello-Nino, Uriel
Vazquez-Leal, Hector
Benhammouda, Brahim
Hernandez-Martinez, Luis
Hoyos-Reyes, Claudio
Perez-Sesma, Jose Antonio Agustin
Jimenez-Fernandez, Victor Manuel
Pereyra-Diaz, Domitilo
Marin-Hernandez, Antonio
Diaz-Sanchez, Alejandro
Huerta-Chua, Jesus
Cervantes-Perez, Juan
author_facet Filobello-Nino, Uriel
Vazquez-Leal, Hector
Benhammouda, Brahim
Hernandez-Martinez, Luis
Hoyos-Reyes, Claudio
Perez-Sesma, Jose Antonio Agustin
Jimenez-Fernandez, Victor Manuel
Pereyra-Diaz, Domitilo
Marin-Hernandez, Antonio
Diaz-Sanchez, Alejandro
Huerta-Chua, Jesus
Cervantes-Perez, Juan
author_sort Filobello-Nino, Uriel
collection PubMed
description This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we show the effectiveness of the proposed method.
format Online
Article
Text
id pubmed-4203791
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-42037912014-11-12 Nonlinearities distribution Laplace transform-homotopy perturbation method Filobello-Nino, Uriel Vazquez-Leal, Hector Benhammouda, Brahim Hernandez-Martinez, Luis Hoyos-Reyes, Claudio Perez-Sesma, Jose Antonio Agustin Jimenez-Fernandez, Victor Manuel Pereyra-Diaz, Domitilo Marin-Hernandez, Antonio Diaz-Sanchez, Alejandro Huerta-Chua, Jesus Cervantes-Perez, Juan Springerplus Research This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we show the effectiveness of the proposed method. Springer International Publishing 2014-10-09 /pmc/articles/PMC4203791/ /pubmed/25392771 http://dx.doi.org/10.1186/2193-1801-3-594 Text en © Filobello-Nino et al.; licensee Springer. 2014 This article is published under license to BioMed Central Ltd. 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
Filobello-Nino, Uriel
Vazquez-Leal, Hector
Benhammouda, Brahim
Hernandez-Martinez, Luis
Hoyos-Reyes, Claudio
Perez-Sesma, Jose Antonio Agustin
Jimenez-Fernandez, Victor Manuel
Pereyra-Diaz, Domitilo
Marin-Hernandez, Antonio
Diaz-Sanchez, Alejandro
Huerta-Chua, Jesus
Cervantes-Perez, Juan
Nonlinearities distribution Laplace transform-homotopy perturbation method
title Nonlinearities distribution Laplace transform-homotopy perturbation method
title_full Nonlinearities distribution Laplace transform-homotopy perturbation method
title_fullStr Nonlinearities distribution Laplace transform-homotopy perturbation method
title_full_unstemmed Nonlinearities distribution Laplace transform-homotopy perturbation method
title_short Nonlinearities distribution Laplace transform-homotopy perturbation method
title_sort nonlinearities distribution laplace transform-homotopy perturbation method
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4203791/
https://www.ncbi.nlm.nih.gov/pubmed/25392771
http://dx.doi.org/10.1186/2193-1801-3-594
work_keys_str_mv AT filobelloninouriel nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT vazquezlealhector nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT benhammoudabrahim nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT hernandezmartinezluis nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT hoyosreyesclaudio nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT perezsesmajoseantonioagustin nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT jimenezfernandezvictormanuel nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT pereyradiazdomitilo nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT marinhernandezantonio nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT diazsanchezalejandro nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT huertachuajesus nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod
AT cervantesperezjuan nonlinearitiesdistributionlaplacetransformhomotopyperturbationmethod

Ejemplares similares