Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction–diffusion equations
This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for reducing the DO-TFRDEs to systems of al...
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| Vydané v: | Computational & applied mathematics Ročník 38; číslo 2; s. 1 - 21 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Cham
Springer International Publishing
01.06.2019
Springer Nature B.V |
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| ISSN: | 2238-3603, 1807-0302 |
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| Abstract | This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for reducing the DO-TFRDEs to systems of algebraic equations and computing their approximate solutions. The applicability and accuracy of the method is illustrated through numerical examples. |
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| AbstractList | This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for reducing the DO-TFRDEs to systems of algebraic equations and computing their approximate solutions. The applicability and accuracy of the method is illustrated through numerical examples. |
| ArticleNumber | 81 |
| Author | Abdelkawy, M. A. Zaky, M. A. Lopes, António M. |
| Author_xml | – sequence: 1 givenname: M. A. surname: Abdelkawy fullname: Abdelkawy, M. A. organization: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic, University (IMSIU), Department of Mathematics, Faculty of Science, Beni-Suef University – sequence: 2 givenname: António M. orcidid: 0000-0001-7359-4370 surname: Lopes fullname: Lopes, António M. email: aml@fe.up.pt organization: UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto – sequence: 3 givenname: M. A. surname: Zaky fullname: Zaky, M. A. organization: Department of Applied Mathematics, National Research Centre |
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| SubjectTerms | Algorithms Applications of Mathematics Applied physics Collocation methods Computational mathematics Computational Mathematics and Numerical Analysis Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Reaction-diffusion equations |
| Title | Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction–diffusion equations |
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