We study combination of Sinc and B-Spline scaling functions to develop numerical method for the time-fractional convection-diffusion equations. Dou to exponential convergence of Sinc interpolation, the shifted Sinc functions based on double exponential transformation have been used for the spatial discretization, and the B-Spline scaling functions have been used for the temporal discretization. We consider two examples to test the proposed method, and we have compared the presented method to verify the effectiveness of the proposed method in comparison with recent existing methods.

中文翻译：

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Sinc和B样条缩放比例函数用于时间分数对流扩散方程

我们研究了Sinc和B样条缩放函数的组合，以开发时间分数对流扩散方程的数值方法。为了适应Sinc插值的指数收敛，基于双指数变换的移位Sinc函数已用于空间离散化，而B样条缩放函数已用于时间离散化。我们考虑了两个例子来测试所提出的方法，并且与现有方法进行了比较，比较了所提出的方法以验证所提出方法的有效性。