Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform
By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9965734 |
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| _version_ | 1832545958251986944 |
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| author | Muhammad Taufiq Marjan Uddin |
| author_facet | Muhammad Taufiq Marjan Uddin |
| author_sort | Muhammad Taufiq |
| collection | DOAJ |
| description | By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions. The numerical computations of inverse Laplace transform are carried out by contour integration technique. The computation can be done in parallel and no time sensitivity is involved in approximating the time fractional operator as contrary to finite differences. The proposed numerical scheme is stable and accurate. |
| format | Article |
| id | doaj-art-e78c7abec255436fb801452589e192da |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e78c7abec255436fb801452589e192da2025-02-03T07:24:24ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99657349965734Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and TransformMuhammad Taufiq0Marjan Uddin1University of Engineering and Technology Peshawar, Department of Basics Sciences and Islamiat, Peshawar, PakistanUniversity of Engineering and Technology Peshawar, Department of Basics Sciences and Islamiat, Peshawar, PakistanBy coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions. The numerical computations of inverse Laplace transform are carried out by contour integration technique. The computation can be done in parallel and no time sensitivity is involved in approximating the time fractional operator as contrary to finite differences. The proposed numerical scheme is stable and accurate.http://dx.doi.org/10.1155/2021/9965734 |
| spellingShingle | Muhammad Taufiq Marjan Uddin Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform Journal of Mathematics |
| title | Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform |
| title_full | Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform |
| title_fullStr | Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform |
| title_full_unstemmed | Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform |
| title_short | Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform |
| title_sort | numerical solution of fractional order anomalous subdiffusion problems using radial kernels and transform |
| url | http://dx.doi.org/10.1155/2021/9965734 |
| work_keys_str_mv | AT muhammadtaufiq numericalsolutionoffractionalorderanomaloussubdiffusionproblemsusingradialkernelsandtransform AT marjanuddin numericalsolutionoffractionalorderanomaloussubdiffusionproblemsusingradialkernelsandtransform |