The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations

We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special nonlinear Volterra-Fredholm integrodifferential equations. The sufficient condition for the convergence of the method is briefly addressed. Some illustrative examples are also presented to demonstrate...

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Detalles Bibliográficos
Autor principal: Ghanbari, Behzad
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/PMC3939014/
https://www.ncbi.nlm.nih.gov/pubmed/24624043
http://dx.doi.org/10.1155/2014/465951
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author Ghanbari, Behzad
author_facet Ghanbari, Behzad
author_sort Ghanbari, Behzad
collection PubMed
description We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special nonlinear Volterra-Fredholm integrodifferential equations. The sufficient condition for the convergence of the method is briefly addressed. Some illustrative examples are also presented to demonstrate the validity and applicability of the technique. Comparison of the obtained results HAM with exact solution shows that the method is reliable and capable of providing analytic treatment for solving such equations.
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spelling pubmed-39390142014-03-12 The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations Ghanbari, Behzad ScientificWorldJournal Research Article We aim to study the convergence of the homotopy analysis method (HAM in short) for solving special nonlinear Volterra-Fredholm integrodifferential equations. The sufficient condition for the convergence of the method is briefly addressed. Some illustrative examples are also presented to demonstrate the validity and applicability of the technique. Comparison of the obtained results HAM with exact solution shows that the method is reliable and capable of providing analytic treatment for solving such equations. Hindawi Publishing Corporation 2014-01-12 /pmc/articles/PMC3939014/ /pubmed/24624043 http://dx.doi.org/10.1155/2014/465951 Text en Copyright © 2014 Behzad Ghanbari. 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
Ghanbari, Behzad
The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations
title The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations
title_full The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations
title_fullStr The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations
title_full_unstemmed The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations
title_short The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations
title_sort convergence study of the homotopy analysis method for solving nonlinear volterra-fredholm integrodifferential equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3939014/
https://www.ncbi.nlm.nih.gov/pubmed/24624043
http://dx.doi.org/10.1155/2014/465951
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