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This article studies a direct numerical approach for fractional advection–diffusion equations (ADEs). Using a set of cubic trigonometric B-splines as test functions, a differential quadrature (DQ) method is firstly proposed for the 1D and 2D time-fractional ADEs of order (0, 1]. The weighted coefficients are determined, and with them, the original equation is transformed into a group of general ordinary...
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