On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method
Our concern in this paper is to use the homotopy decomposition method to solve the Hamilton-Jacobi-Bellman equation (HJB). The approach is obviously extremely well organized and is an influential procedure in obtaining the solutions of the equations. We portrayed particular compensations that this t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/436362 |
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| author | Abdon Atangana Aden Ahmed Suares Clovis Oukouomi Noutchie |
| author_facet | Abdon Atangana Aden Ahmed Suares Clovis Oukouomi Noutchie |
| author_sort | Abdon Atangana |
| collection | DOAJ |
| description | Our concern in this paper is to use the homotopy decomposition method to solve the Hamilton-Jacobi-Bellman equation (HJB). The approach is obviously extremely well organized and is an influential procedure in obtaining the solutions of the equations. We portrayed particular compensations that this technique has over the prevailing approaches. We presented that the complexity of the homotopy decomposition method is of order O(n). Furthermore, three explanatory examples established good outcomes and comparisons with exact solution. |
| format | Article |
| id | doaj-art-987d44b8cc034b468602374f37602d40 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-987d44b8cc034b468602374f37602d402025-02-03T01:12:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/436362436362On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation MethodAbdon Atangana0Aden Ahmed1Suares Clovis Oukouomi Noutchie2Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaDepartment of Mathematics, Texas A&M University, MSC 172, 700 University Boulevard, Kingsville, TX, USADepartment of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South AfricaOur concern in this paper is to use the homotopy decomposition method to solve the Hamilton-Jacobi-Bellman equation (HJB). The approach is obviously extremely well organized and is an influential procedure in obtaining the solutions of the equations. We portrayed particular compensations that this technique has over the prevailing approaches. We presented that the complexity of the homotopy decomposition method is of order O(n). Furthermore, three explanatory examples established good outcomes and comparisons with exact solution.http://dx.doi.org/10.1155/2014/436362 |
| spellingShingle | Abdon Atangana Aden Ahmed Suares Clovis Oukouomi Noutchie On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method Abstract and Applied Analysis |
| title | On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method |
| title_full | On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method |
| title_fullStr | On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method |
| title_full_unstemmed | On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method |
| title_short | On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method |
| title_sort | on the hamilton jacobi bellman equation by the homotopy perturbation method |
| url | http://dx.doi.org/10.1155/2014/436362 |
| work_keys_str_mv | AT abdonatangana onthehamiltonjacobibellmanequationbythehomotopyperturbationmethod AT adenahmed onthehamiltonjacobibellmanequationbythehomotopyperturbationmethod AT suaresclovisoukouominoutchie onthehamiltonjacobibellmanequationbythehomotopyperturbationmethod |