Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter
Fractional derivative
two finite difference methods
fractional partial differential equation.
In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional partial differential equation with parameter. The algorithm for the numerical solution of this equation is based on implicit and an explicit difference method. Finally, numerical example is provided to illustrate that the numerical method for solving this equation is an effective solution method.