Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method

The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence...

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Detalles Bibliográficos
Autores principales: Bota, Constantin, Căruntu, Bogdan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4065685/
https://www.ncbi.nlm.nih.gov/pubmed/25003150
http://dx.doi.org/10.1155/2014/721865
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author Bota, Constantin
Căruntu, Bogdan
author_facet Bota, Constantin
Căruntu, Bogdan
author_sort Bota, Constantin
collection PubMed
description The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence compared to the regular homotopy perturbation method. The applications presented emphasize the high accuracy of the method by means of a comparison with previous results.
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spelling pubmed-40656852014-07-07 Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method Bota, Constantin Căruntu, Bogdan ScientificWorldJournal Research Article The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence compared to the regular homotopy perturbation method. The applications presented emphasize the high accuracy of the method by means of a comparison with previous results. Hindawi Publishing Corporation 2014 2014-06-03 /pmc/articles/PMC4065685/ /pubmed/25003150 http://dx.doi.org/10.1155/2014/721865 Text en Copyright © 2014 C. Bota and B. Căruntu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bota, Constantin
Căruntu, Bogdan
Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
title Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
title_full Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
title_fullStr Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
title_full_unstemmed Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
title_short Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
title_sort approximate analytical solutions of the regularized long wave equation using the optimal homotopy perturbation method
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4065685/
https://www.ncbi.nlm.nih.gov/pubmed/25003150
http://dx.doi.org/10.1155/2014/721865
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