Finite Difference Approximation for Caputo-Fabrizio Time Fractional Derivative on Non-Uniform Mesh and Some Applications

  • Norodin Rangaig Mindanao State University
Keywords: Finite difference, Caputo-Fabrizio fractional derivative, numerical algorithm, nonuniform mesh, stability

Abstract

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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Published
2018-12-30
How to Cite
Rangaig, N. (2018). Finite Difference Approximation for Caputo-Fabrizio Time Fractional Derivative on Non-Uniform Mesh and Some Applications. To Physics Journal, 1(3), 255-263. Retrieved from http://purkh.com/index.php/tophy/article/view/152
Section
Research Articles