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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/465951 |
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| author | Behzad Ghanbari |
| author_facet | Behzad Ghanbari |
| author_sort | Behzad Ghanbari |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0659f4e220d64805b1364bfee0bc25f3 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-0659f4e220d64805b1364bfee0bc25f32025-08-20T02:03:42ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/465951465951The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential EquationsBehzad Ghanbari0Department of Basic Sciences, Kermanshah University of Technology, P.O. Box 63766-67178, Kermanshah, IranWe 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.http://dx.doi.org/10.1155/2014/465951 |
| spellingShingle | Behzad Ghanbari The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/465951 |
| work_keys_str_mv | AT behzadghanbari theconvergencestudyofthehomotopyanalysismethodforsolvingnonlinearvolterrafredholmintegrodifferentialequations AT behzadghanbari convergencestudyofthehomotopyanalysismethodforsolvingnonlinearvolterrafredholmintegrodifferentialequations |