Abstract.

In this note, radial basis functions (RBFs) approximation is utilized for solving fractional advection-dispersion equation, which has been used in groundwater hydrology as a reliable approach for modeling transport of passive tracers during fluid flow in a porous media. In this method, we discretize time fractional derivative of order  in the range (0; 1] and spatial derivative terms by using the finite difference scheme and the Kansa method, respectively. Moreover, the stability and convergence of time-discretized scheme are performed in detail throughout the paper. Two numerical examples are included to illustrate the validity and applicability of the approach

Keywords:

time fractional derivative, time fractional advection-dispersion equation, radial basis functions, collocation method