Numerical approximation of time-dependent fractional convection-diffusion-wave equation by RBF-FD method

In this paper, a method based on radial basis function finite difference(RBF-FD) is developed for solving the time fractional convection-diffusion-wave equation(TFCDWE). We first approximate the equation by a scheme of order O ( τ + h 2 ) , where τ , h are the time step size and spatial step size, respectively. We prove the stability and convergence of the discrete scheme, then the multiquadric RBF-FD approach is used to approximate the spatial...