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...

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Main Authors:	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
Format:	Online
Language:	English
Published:	Springer International Publishing 2014
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4203791/

id	pubmed-4203791
recordtype	oai_dc
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 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.
repository_type	Open Access Journal
institution_category	Foreign Institution
institution	US National Center for Biotechnology Information
building	NCBI PubMed
collection	Online Access
language	English
format	Online
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
spellingShingle	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
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
title	Nonlinearities distribution Laplace transform-homotopy perturbation method
title_short	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_sort	nonlinearities distribution laplace transform-homotopy perturbation method
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.
publisher	Springer International Publishing
publishDate	2014
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4203791/
_version_	1613146808312135680

Nonlinearities distribution Laplace transform-homotopy perturbation method

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