Numerical Methods for Fractional Reaction-Dispersion Equation with Riesz Space Fractional Derivative


In this paper, a numerical solution of fractional reaction-dispersion equation withRiesz space fractional derivative has been presented. The algorithm for the numericalsolution for this equation is based on two finite difference methods. The consistency,stability, and convergence of the fractional order numerical method are described.The numerical methods have been applied to solve a practical numerical exampleand comparing results with the exact solution. The results were presented in tablesusing the MathCAD 12 software package when it is needed. The two finite differencemethods appeared to be effective and reliable in solving fractional reaction-dispersionequation with Riesz space fractional derivative.