H. Al-Zoubi

An Explicit Forward-Euler Type Method for Time-Space Fractional Advection Equations

This paper introduces an explicit finite-difference scheme (FDS) for time–space fractional-order (FO) advection equations whose temporal and spatial derivatives have different FOs. The discretization is constructed from a FO Taylor expansion and produces a forward-Euler–type approximation of Caputo derivatives. We prov...