Laplace transform homotopy perturbation method for the approximation of variational problems View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-12

AUTHORS

U. Filobello-Nino, H. Vazquez-Leal, M. M. Rashidi, H. M. Sedighi, A. Perez-Sesma, M. Sandoval-Hernandez, A. Sarmiento-Reyes, A. D. Contreras-Hernandez, D. Pereyra-Diaz, C. Hoyos-Reyes, V. M. Jimenez-Fernandez, J. Huerta-Chua, F. Castro-Gonzalez, J. R. Laguna-Camacho

ABSTRACT

This article proposes the application of Laplace Transform-Homotopy Perturbation Method and some of its modifications in order to find analytical approximate solutions for the linear and nonlinear differential equations which arise from some variational problems. As case study we will solve four ordinary differential equations, and we will show that the proposed solutions have good accuracy, even we will obtain an exact solution. In the sequel, we will see that the square residual error for the approximate solutions, belongs to the interval [0.001918936920, 0.06334882582], which confirms the accuracy of the proposed methods, taking into account the complexity and difficulty of variational problems. More... »

PAGES

276

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s40064-016-1755-y

DOI

http://dx.doi.org/10.1186/s40064-016-1755-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1008174945

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/27006884


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