Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method
We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. Th...
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| Main Authors: | , , , , |
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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/10.1155/2013/925192 |
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| _version_ | 1832568394195402752 |
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| author | Yulan Wang Shuai Lu Fugui Tan Mingjing Du Hao Yu |
| author_facet | Yulan Wang Shuai Lu Fugui Tan Mingjing Du Hao Yu |
| author_sort | Yulan Wang |
| collection | DOAJ |
| description | We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. The present method reveals to be more effective and convenient compared with the other methods. |
| format | Article |
| id | doaj-art-ec6c1e59a6894bf2a3c928730cbe5ac9 |
| 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-ec6c1e59a6894bf2a3c928730cbe5ac92025-02-03T00:59:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/925192925192Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space MethodYulan Wang0Shuai Lu1Fugui Tan2Mingjing Du3Hao Yu4Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaJining Teachers College, Inner Mongolia, Wulanchabu 012000, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaWe use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. The present method reveals to be more effective and convenient compared with the other methods.http://dx.doi.org/10.1155/2013/925192 |
| spellingShingle | Yulan Wang Shuai Lu Fugui Tan Mingjing Du Hao Yu Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method Abstract and Applied Analysis |
| title | Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method |
| title_full | Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method |
| title_fullStr | Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method |
| title_full_unstemmed | Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method |
| title_short | Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method |
| title_sort | solving a class of singular fifth order boundary value problems using reproducing kernel hilbert space method |
| url | http://dx.doi.org/10.1155/2013/925192 |
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