Bezier Curves Method for Fourth-Order Integrodifferential Equations
The Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are t...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/672058 |
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| author | F. Ghomanjani A. V. Kamyad A. Kılıçman |
| author_facet | F. Ghomanjani A. V. Kamyad A. Kılıçman |
| author_sort | F. Ghomanjani |
| collection | DOAJ |
| description | The Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. Some numerical examples demonstrate the validity and applicability of the technique. |
| format | Article |
| id | doaj-art-e25bc0bff68b427ab63fcb3652ea1071 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e25bc0bff68b427ab63fcb3652ea10712025-02-03T06:08:17ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/672058672058Bezier Curves Method for Fourth-Order Integrodifferential EquationsF. Ghomanjani0A. V. Kamyad1A. Kılıçman2Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaThe Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. Some numerical examples demonstrate the validity and applicability of the technique.http://dx.doi.org/10.1155/2013/672058 |
| spellingShingle | F. Ghomanjani A. V. Kamyad A. Kılıçman Bezier Curves Method for Fourth-Order Integrodifferential Equations Abstract and Applied Analysis |
| title | Bezier Curves Method for Fourth-Order Integrodifferential Equations |
| title_full | Bezier Curves Method for Fourth-Order Integrodifferential Equations |
| title_fullStr | Bezier Curves Method for Fourth-Order Integrodifferential Equations |
| title_full_unstemmed | Bezier Curves Method for Fourth-Order Integrodifferential Equations |
| title_short | Bezier Curves Method for Fourth-Order Integrodifferential Equations |
| title_sort | bezier curves method for fourth order integrodifferential equations |
| url | http://dx.doi.org/10.1155/2013/672058 |
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