Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation

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A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations (2015, methodology): “Several numerical methods have been proposed in the last few years for solving SFADE such that finite difference method [17–20], finite volume method [21], random walk method [22], random walk particle tracking method [23,24],”
A finite element solution for the fractional advection–dispersion equation (2008, methodology): “Efforts have been made for developing numerical solutions of the FADE with the finite difference (FD) method [11,22,23,25,26], the finite volume (FV) method [52,53], the random walk (RW) method [14,15,47,27], the random walk particle tracking (RWPT) method [49,50], as well as the finite element (FEM”
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007, methodology): “Some numerical methods for solving the space or time, or time-space fractional partial differential equations have been proposed [15],[16],[17], [18], [19], [20], [21], [22], [23], [24].”