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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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
Descripción
Sumario: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.

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