A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation
We consider to represent an algorithm for time-fractional Burgers’ equation utilizing the multiquadric-radial basis functions with the time-splitting technique. This algorithm is performed on the three examples. The numerical results indicated that the algorithm yields accurate approximate solutions...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/5493451 |
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| _version_ | 1832549753808748544 |
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| author | Erdal Korkmaz Kenan Yildirim |
| author_facet | Erdal Korkmaz Kenan Yildirim |
| author_sort | Erdal Korkmaz |
| collection | DOAJ |
| description | We consider to represent an algorithm for time-fractional Burgers’ equation utilizing the multiquadric-radial basis functions with the time-splitting technique. This algorithm is performed on the three examples. The numerical results indicated that the algorithm yields accurate approximate solutions of the time-fractional Burgers’ equation. The physical behavior of the obtained solutions is given with graphics, and the results showed that the obtained solutions are in good match with the solutions reported in the literature. The algorithm is accurate, flexible, and easy to implement. |
| format | Article |
| id | doaj-art-d55b4411c4c944cbacd6343165384091 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d55b4411c4c944cbacd63431653840912025-02-03T06:08:39ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/5493451A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ EquationErdal Korkmaz0Kenan Yildirim1MathematicsMathematicsWe consider to represent an algorithm for time-fractional Burgers’ equation utilizing the multiquadric-radial basis functions with the time-splitting technique. This algorithm is performed on the three examples. The numerical results indicated that the algorithm yields accurate approximate solutions of the time-fractional Burgers’ equation. The physical behavior of the obtained solutions is given with graphics, and the results showed that the obtained solutions are in good match with the solutions reported in the literature. The algorithm is accurate, flexible, and easy to implement.http://dx.doi.org/10.1155/2023/5493451 |
| spellingShingle | Erdal Korkmaz Kenan Yildirim A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation Journal of Mathematics |
| title | A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation |
| title_full | A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation |
| title_fullStr | A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation |
| title_full_unstemmed | A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation |
| title_short | A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation |
| title_sort | meshfree time splitting approach for the time fractional burgers equation |
| url | http://dx.doi.org/10.1155/2023/5493451 |
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