"Spectral tau-Jacobi for fractional advection-dispersion problem" by Amany S. Mohamed and Mahmoud M. Mokhtar
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Abstract

In this paper, we use the shifted Jacobi polynomials to approximate the solution of the space fractional advection-dispersion. The method is based on the Jacobi operational matrices of fractional derivative and integration. A double shifted Jacobi expansion is used as an approximating polynomial. We apply this method to solve linear and nonlinear term FDEs by using initial and boundary conditions.

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