Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space
In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with other methods, numerical results show the reliability of the...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/1794975 |
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| _version_ | 1832567976496201728 |
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| author | Xiaoli Zhang Haolu Zhang Lina Jia Yulan Wang Wei Zhang |
| author_facet | Xiaoli Zhang Haolu Zhang Lina Jia Yulan Wang Wei Zhang |
| author_sort | Xiaoli Zhang |
| collection | DOAJ |
| description | In this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with other methods, numerical results show the reliability of the present method. |
| format | Article |
| id | doaj-art-e9dc585ef7de46b289e40907b3febfb7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e9dc585ef7de46b289e40907b3febfb72025-02-03T01:00:05ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/17949751794975Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel SpaceXiaoli Zhang0Haolu Zhang1Lina Jia2Yulan Wang3Wei Zhang4Institute of Economics and Management, Jining Normal University, Jining 012000, Inner Mongolia, ChinaSchool of Civil Engineering, 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, ChinaInstitute of Economics and Management, Jining Normal University, Jining 012000, Inner Mongolia, ChinaIn this paper, we structure some new reproducing kernel spaces based on Jacobi polynomial and give a numerical solution of a class of time fractional order diffusion equations using piecewise reproducing kernel method (RKM). Compared with other methods, numerical results show the reliability of the present method.http://dx.doi.org/10.1155/2020/1794975 |
| spellingShingle | Xiaoli Zhang Haolu Zhang Lina Jia Yulan Wang Wei Zhang Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space Journal of Function Spaces |
| title | Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space |
| title_full | Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space |
| title_fullStr | Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space |
| title_full_unstemmed | Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space |
| title_short | Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space |
| title_sort | numerical solution of a class of time fractional order diffusion equations in a new reproducing kernel space |
| url | http://dx.doi.org/10.1155/2020/1794975 |
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