Finite Difference Approximation for Caputo-Fabrizio Time Fractional Derivative on Non-Uniform Mesh and Some Applications
This study presents the numerical approximation method for the nonsingular fractional derivative known as the Caputo-Fabrizio fractional derivative on uniform and nonuniform mesh. It has been found that the accuracy of the utilized fractional derivative can be improved on nonuniform mesh compare to the uniformone. In contrast to the previous literatures, the accuracy of nonsingular fractional derivative is highly weighted by the fractional order and the memory kernel.
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