Numerical Study Of The Spatial Fractional Advection-Diffusion Equation

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Swapnali Doley, et. al.

Abstract

Here we discuss the advection-diffusion equation with diffusion fractional in one dimension. The study provides a Riemann-Liouville fractional derivative (RLFD) to obtain an implicit scheme of space fractional advection-diffusion equation (SFADE). The Von-Neumann techniques are illustrated for the stability and provided the implicit scheme is unconditionally stable under all condition and also a convergent. Numerical examples are illustrated the behavior of the fractional-order diffusion.

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How to Cite
et. al., S. D. . (2021). Numerical Study Of The Spatial Fractional Advection-Diffusion Equation. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(11), 6056–6062. https://doi.org/10.17762/turcomat.v12i11.6924
Section
Research Articles