Document Details
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Document Type |
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Article In Journal |
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Document Title |
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A quadrature tau method for fractional differential equations with variable coefficients A quadrature tau method for fractional differential equations with variable coefficients |
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Subject |
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Mathematics |
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Document Language |
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English |
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Abstract |
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In this article, we develop a direct solution technique for solving multi-order fractional differential equations (FDEs) with variable coefficients using a quadrature shifted Legendre tau (Q-SLT) method. The spatial approximation is based on shifted Legendre polynomials. A new formula expressing explicitly any fractional-order derivatives of shifted Legendre polynomials of any degree in terms of shifted Legendre polynomials themselves is proved. Extension of the tau method for FDEs with variable coefficients is treated using the shifted LegendreGaussLobatto quadrature. Numerical results are given to confirm the reliability of the proposed method for some FDEs with variable coefficients. |
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ISSN |
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0893-9659 |
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Journal Name |
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Applied Mathematics Letters |
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Volume |
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24 |
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Issue Number |
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12 |
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Publishing Year |
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1432 AH
2011 AD |
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Article Type |
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Article |
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Added Date |
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Sunday, March 11, 2012 |
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Researchers
| علي حسن بحراوي | Bhrawy, Ali H | Researcher | Doctorate | alibhrawy@yahoo.co.uk |
| عبدالعزيز سليم العوفي | Alofi, Abdulaziz S | Researcher | Doctorate | asmo1427@yahoo.com |
| S S Ezz-Eldien | Ezz-Eldien, S S | Researcher | Doctorate | |
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