Fractional Order Finite Difference Scheme For Soil Moisture Diffusion Equation And Its Applications

The aim of this paper is to develop the implicit finite difference scheme for space fractional soil moisture diffusion equation (SFSMDE) with initial and boundary conditions. We prove that the scheme is unconditionally stable and convergent. Also, as an application of this scheme numerical solution for space fractional soil moisture diffusion equation is obtained by Mathematica software.