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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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Published in:SpringerPlus 2014-10, Vol.3 (1), p.594-594, Article 594
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: Article
Language:English
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Summary: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.
ISSN:2193-1801
2193-1801
DOI:10.1186/2193-1801-3-594