Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials. Reproducing kernel function in the form of Jacobi polynomials is esta...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/8101843 |
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| _version_ | 1849473457440423936 |
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| author | Zhiyuan Li Meichun Wang Yulan Wang Jing Pang |
| author_facet | Zhiyuan Li Meichun Wang Yulan Wang Jing Pang |
| author_sort | Zhiyuan Li |
| collection | DOAJ |
| description | This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials. Reproducing kernel function in the form of Jacobi polynomials is established for the first time. It is implemented as a reproducing kernel method. The numerical solutions obtained by taking the different values of parameter are compared; Schmidt orthogonalization process is avoided. It is proved that this method is feasible and accurate through some numerical examples. |
| format | Article |
| id | doaj-art-d24603d3dfb84c059da9939ef2e938ba |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d24603d3dfb84c059da9939ef2e938ba2025-08-20T03:24:07ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/81018438101843Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential EquationsZhiyuan Li0Meichun Wang1Yulan Wang2Jing Pang3Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaThis paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials. Reproducing kernel function in the form of Jacobi polynomials is established for the first time. It is implemented as a reproducing kernel method. The numerical solutions obtained by taking the different values of parameter are compared; Schmidt orthogonalization process is avoided. It is proved that this method is feasible and accurate through some numerical examples.http://dx.doi.org/10.1155/2020/8101843 |
| spellingShingle | Zhiyuan Li Meichun Wang Yulan Wang Jing Pang Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations Advances in Mathematical Physics |
| title | Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations |
| title_full | Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations |
| title_fullStr | Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations |
| title_full_unstemmed | Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations |
| title_short | Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations |
| title_sort | using reproducing kernel for solving a class of fractional order integral differential equations |
| url | http://dx.doi.org/10.1155/2020/8101843 |
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