Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method
We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM), homotopy perturbation method (HPM), Adomian...
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| Main Authors: | , |
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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/10.1155/2014/745287 |
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| _version_ | 1849307438219526144 |
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| author | Mustafa Inc Ali Akgül |
| author_facet | Mustafa Inc Ali Akgül |
| author_sort | Mustafa Inc |
| collection | DOAJ |
| description | We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM), homotopy perturbation method (HPM), Adomian decomposition method (ADM), variation of parameters method (VPM), and homotopy analysis method (HAM). Obtained results show that our method is very effective. |
| format | Article |
| id | doaj-art-20f8c33e853a4e4fa926f1a0bb345551 |
| 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-20f8c33e853a4e4fa926f1a0bb3455512025-08-20T03:54:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/745287745287Numerical Solution of Seventh-Order Boundary Value Problems by a Novel MethodMustafa Inc0Ali Akgül1Department of Mathematics, Science Faculty, Fırat University, 23119 Elazığ, TurkeyDepartment of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakır, TurkeyWe demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM), homotopy perturbation method (HPM), Adomian decomposition method (ADM), variation of parameters method (VPM), and homotopy analysis method (HAM). Obtained results show that our method is very effective.http://dx.doi.org/10.1155/2014/745287 |
| spellingShingle | Mustafa Inc Ali Akgül Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method Abstract and Applied Analysis |
| title | Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method |
| title_full | Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method |
| title_fullStr | Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method |
| title_full_unstemmed | Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method |
| title_short | Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method |
| title_sort | numerical solution of seventh order boundary value problems by a novel method |
| url | http://dx.doi.org/10.1155/2014/745287 |
| work_keys_str_mv | AT mustafainc numericalsolutionofseventhorderboundaryvalueproblemsbyanovelmethod AT aliakgul numericalsolutionofseventhorderboundaryvalueproblemsbyanovelmethod |