A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets
In this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative. Using the operational matrix for the Caputo derivative operator and applying the Chebyshev and Legendre zeros, the problem i...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9915551 |
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| _version_ | 1850106814235934720 |
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| author | Haifa Bin Jebreen Fairouz Tchier |
| author_facet | Haifa Bin Jebreen Fairouz Tchier |
| author_sort | Haifa Bin Jebreen |
| collection | DOAJ |
| description | In this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative. Using the operational matrix for the Caputo derivative operator and applying the Chebyshev and Legendre zeros, the problem is reduced to a system of linear algebraic equations. We illustrate the reliability, efficiency, and accuracy of the method by some numerical examples. We also compare the proposed method with others and show that the proposed method gives better results. |
| format | Article |
| id | doaj-art-4ddfd5d678bb47d8a755d35df47ffca3 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4ddfd5d678bb47d8a755d35df47ffca32025-08-20T02:38:45ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99155519915551A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre WaveletsHaifa Bin Jebreen0Fairouz Tchier1Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaIn this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative. Using the operational matrix for the Caputo derivative operator and applying the Chebyshev and Legendre zeros, the problem is reduced to a system of linear algebraic equations. We illustrate the reliability, efficiency, and accuracy of the method by some numerical examples. We also compare the proposed method with others and show that the proposed method gives better results.http://dx.doi.org/10.1155/2021/9915551 |
| spellingShingle | Haifa Bin Jebreen Fairouz Tchier A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets Complexity |
| title | A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets |
| title_full | A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets |
| title_fullStr | A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets |
| title_full_unstemmed | A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets |
| title_short | A New Scheme for Solving Multiorder Fractional Differential Equations Based on Müntz–Legendre Wavelets |
| title_sort | new scheme for solving multiorder fractional differential equations based on muntz legendre wavelets |
| url | http://dx.doi.org/10.1155/2021/9915551 |
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