Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin
Through the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers’ model in fulness of overdetermination Robin boundary condition. Details theoretical explanations are utilized to interpret poin...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-05-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721003569 |
| _version_ | 1818642460673310720 |
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| author | Omar Abu Arqub Mohammed Al-Smadi Radwan Abu Gdairi Mohammed Alhodaly Tasawar Hayat |
| author_facet | Omar Abu Arqub Mohammed Al-Smadi Radwan Abu Gdairi Mohammed Alhodaly Tasawar Hayat |
| author_sort | Omar Abu Arqub |
| collection | DOAJ |
| description | Through the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers’ model in fulness of overdetermination Robin boundary condition. Details theoretical explanations are utilized to interpret pointwise numerical solutions to such fractional models on the space of Sobolev and in the Caputo sense. This remediation optimized pointwise numerical solution depending on the orthogonalization Schmidt process that can be straightway implemented to generate Fourier expansion within a fast convergence rate. The validity and potentiality of the utilized algorithm are expounded by testing the pointwise numerical solvability of a couple of time-fractional Burgers’ models. The schematic plot and tabulated results outcomes signalize that the algorithm procedure is accurate and convenient in the field of fractional sense. Ultimately, future remarks and concluding are acted with the most focused used references. |
| first_indexed | 2024-12-16T23:43:25Z |
| format | Article |
| id | doaj.art-0c3f7b7b91d84ad5a1b7f797e7895cab |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-16T23:43:25Z |
| publishDate | 2021-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-0c3f7b7b91d84ad5a1b7f797e7895cab2022-12-21T22:11:32ZengElsevierResults in Physics2211-37972021-05-0124104210Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of RobinOmar Abu Arqub0Mohammed Al-Smadi1Radwan Abu Gdairi2Mohammed Alhodaly3Tasawar Hayat4Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Corresponding author at: Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan.Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan; Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab EmiratesDepartment of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, JordanNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Quaid-I-Azam University, Islamabad 45320, PakistanThrough the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers’ model in fulness of overdetermination Robin boundary condition. Details theoretical explanations are utilized to interpret pointwise numerical solutions to such fractional models on the space of Sobolev and in the Caputo sense. This remediation optimized pointwise numerical solution depending on the orthogonalization Schmidt process that can be straightway implemented to generate Fourier expansion within a fast convergence rate. The validity and potentiality of the utilized algorithm are expounded by testing the pointwise numerical solvability of a couple of time-fractional Burgers’ models. The schematic plot and tabulated results outcomes signalize that the algorithm procedure is accurate and convenient in the field of fractional sense. Ultimately, future remarks and concluding are acted with the most focused used references.http://www.sciencedirect.com/science/article/pii/S2211379721003569Time-fractional Burgers’ modelRobin boundary conditionReproducing kernel Hilbert algorithmCaputo time-fractional partial derivativePointwise numerical solution |
| spellingShingle | Omar Abu Arqub Mohammed Al-Smadi Radwan Abu Gdairi Mohammed Alhodaly Tasawar Hayat Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin Results in Physics Time-fractional Burgers’ model Robin boundary condition Reproducing kernel Hilbert algorithm Caputo time-fractional partial derivative Pointwise numerical solution |
| title | Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin |
| title_full | Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin |
| title_fullStr | Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin |
| title_full_unstemmed | Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin |
| title_short | Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin |
| title_sort | implementation of reproducing kernel hilbert algorithm for pointwise numerical solvability of fractional burgers model in time dependent variable domain regarding constraint boundary condition of robin |
| topic | Time-fractional Burgers’ model Robin boundary condition Reproducing kernel Hilbert algorithm Caputo time-fractional partial derivative Pointwise numerical solution |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721003569 |
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