کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709108 1012841 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A quadrature tau method for fractional differential equations with variable coefficients
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A quadrature tau method for fractional differential equations with variable coefficients
چکیده انگلیسی

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 Legendre–Gauss–Lobatto quadrature. Numerical results are given to confirm the reliability of the proposed method for some FDEs with variable coefficients.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 24, Issue 12, December 2011, Pages 2146–2152
نویسندگان
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