Sinc and B-Spline scaling functions for time-fractional convection-diffusion equations
We study combination of Sinc and B-Spline scaling functions to develop numerical method for the time-fractional convection-diffusion equations. Dou to exponential convergence of Sinc interpolation, the shifted Sinc functions based on double exponential transformation have been used for the spatial d...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-03-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364721000045 |
| _version_ | 1818620569973686272 |
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| author | Leila Adibmanesha Jalil Rashidiniab |
| author_facet | Leila Adibmanesha Jalil Rashidiniab |
| author_sort | Leila Adibmanesha |
| collection | DOAJ |
| description | We study combination of Sinc and B-Spline scaling functions to develop numerical method for the time-fractional convection-diffusion equations. Dou to exponential convergence of Sinc interpolation, the shifted Sinc functions based on double exponential transformation have been used for the spatial discretization, and the B-Spline scaling functions have been used for the temporal discretization. We consider two examples to test the proposed method, and we have compared the presented method to verify the effectiveness of the proposed method in comparison with recent existing methods. |
| first_indexed | 2024-12-16T17:55:28Z |
| format | Article |
| id | doaj.art-bb406949646641f5b2c71e4a886e52d1 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-16T17:55:28Z |
| publishDate | 2021-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-bb406949646641f5b2c71e4a886e52d12022-12-21T22:22:11ZengElsevierJournal of King Saud University: Science1018-36472021-03-01332101343Sinc and B-Spline scaling functions for time-fractional convection-diffusion equationsLeila Adibmanesha0Jalil Rashidiniab1Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran; Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran; Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran; Corresponding author at: Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.We study combination of Sinc and B-Spline scaling functions to develop numerical method for the time-fractional convection-diffusion equations. Dou to exponential convergence of Sinc interpolation, the shifted Sinc functions based on double exponential transformation have been used for the spatial discretization, and the B-Spline scaling functions have been used for the temporal discretization. We consider two examples to test the proposed method, and we have compared the presented method to verify the effectiveness of the proposed method in comparison with recent existing methods.http://www.sciencedirect.com/science/article/pii/S1018364721000045Liouville-Caputo fractional diffusion equationsB-Spline scaling functionsSinc interpolationDouble exponential transformation. |
| spellingShingle | Leila Adibmanesha Jalil Rashidiniab Sinc and B-Spline scaling functions for time-fractional convection-diffusion equations Journal of King Saud University: Science Liouville-Caputo fractional diffusion equations B-Spline scaling functions Sinc interpolation Double exponential transformation. |
| title | Sinc and B-Spline scaling functions for time-fractional convection-diffusion equations |
| title_full | Sinc and B-Spline scaling functions for time-fractional convection-diffusion equations |
| title_fullStr | Sinc and B-Spline scaling functions for time-fractional convection-diffusion equations |
| title_full_unstemmed | Sinc and B-Spline scaling functions for time-fractional convection-diffusion equations |
| title_short | Sinc and B-Spline scaling functions for time-fractional convection-diffusion equations |
| title_sort | sinc and b spline scaling functions for time fractional convection diffusion equations |
| topic | Liouville-Caputo fractional diffusion equations B-Spline scaling functions Sinc interpolation Double exponential transformation. |
| url | http://www.sciencedirect.com/science/article/pii/S1018364721000045 |
| work_keys_str_mv | AT leilaadibmanesha sincandbsplinescalingfunctionsfortimefractionalconvectiondiffusionequations AT jalilrashidiniab sincandbsplinescalingfunctionsfortimefractionalconvectiondiffusionequations |