A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem
A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem. The existence and uniqueness of proposed method are...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/714973 |
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| author | M. A. El-Ameen M. El-Kady |
| author_facet | M. A. El-Ameen M. El-Kady |
| author_sort | M. A. El-Ameen |
| collection | DOAJ |
| description | A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem. The existence and uniqueness of proposed method are achieved. Numerical results are given at the end of this paper. |
| format | Article |
| id | doaj-art-e68f7c25488d4ef8829740430949ac4e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e68f7c25488d4ef8829740430949ac4e2025-02-03T01:29:01ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/714973714973A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control ProblemM. A. El-Ameen0M. El-Kady1Faculty of Engineering, Umm Al-Qura University, P.O. Box 5555, Mecca, Saudi ArabiaFaculty of Science, Helwan University, Helwan, EgyptA new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem. The existence and uniqueness of proposed method are achieved. Numerical results are given at the end of this paper.http://dx.doi.org/10.1155/2012/714973 |
| spellingShingle | M. A. El-Ameen M. El-Kady A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem Journal of Applied Mathematics |
| title | A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem |
| title_full | A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem |
| title_fullStr | A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem |
| title_full_unstemmed | A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem |
| title_short | A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem |
| title_sort | new direct method for solving nonlinear volterra fredholm hammerstein integral equations via optimal control problem |
| url | http://dx.doi.org/10.1155/2012/714973 |
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