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arXiv · 2003.08015

A numerical method for a class of nonlinear fractional advection-diffusion equations

Jocemar Q. Chagas·Giuliano G. La Guardia·Ervin K. Lenzi
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Abstract

In this note, a numerical method based on finite differences to solve a class of nonlinear advection-diffusion fractional differential equation is proposed. The fractional operator considered here is the fractional Riemann-Liouville derivative or the fractional Riesz derivative of order $α$. The consistency and unconditionally stability of the method are shown. Finally, an example of application of this method is presented.

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Jocemar Q. Chagas, Giuliano G. La Guardia, Ervin K. Lenzi. 2020-10-08. A numerical method for a class of nonlinear fractional advection-diffusion equations. https://arxiv.org/abs/2003.08015

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