Author

• Iman Isho Gorial

Abstract

In this paper, a numerical solution of the 3-dimensional two-sided fractional
diffusion equation has been presented. The algorithm for the numerical solution for
this equation is based on explicit finite difference method. The consistency, conditional
stability, and convergence of the fractional order numerical method are described.
The numerical method has been applied to solve a practical numerical example and
the results have been compared with exact solution. The results were presented in
tables using the MathCAD 12 software package when it is needed. The explicit finite
difference method appeared to be effective and reliable in solving the 3-dimensional
two-sided fractional Diffusion equation

Keywords

• Fractional derivative
• explicit Euler method
• fractional diffusion equation
• stability
• Convergence