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Numerical Method Based on Galerkin Approximation for the Fractional Advection-Dispersion Equation

Research paper by Harendra Singh, Manas Ranjan Sahoo, Om Prakash Singh

Indexed on: 30 Aug '16Published on: 30 Aug '16Published in: International Journal of Applied and Computational Mathematics



Abstract

In this paper, we present a numerical method for solving homogeneous as well as non-homogeneous fractional advection-dispersion equation (FADE). The numerical method is based on the Galerkin approximation. The Galerkin approximation converts the FADE into a system of fractional ordinary differential equations whose solutions is discussed. Convergence of the proposed method is shown. Numerical examples are given and numerical results are compared with exact solution to show the effectiveness and accuracy of the proposed method.