Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications

Bhausaheb R. Sontakke a  and  Abhijeet Shelke b,∗

Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications

Authors :

Bhausaheb R. Sontakke ^a and Abhijeet Shelke^b,∗

Author Address :

^a Department of Mathematics, Pratishthan Mahavidyalya, Paithan, Aurangabad(MS), India.
^bResearch Student, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (MS), India.

*Corresponding author

Abstract :

The purpose of this paper is to develop the explicit fractional order finite difference scheme for variable-order space fractional diffusion equation (VOSFDE). Furthermore, the stability and convergence of the scheme in a bounded domain are discussed. As an application of the scheme, we solve some test problems and their solutions are represented graphically by Mathematica software.

Keywords :

Space fractional, diffusion equation, finite difference scheme, stability analysis, Mathematica.

DOI :

Article Info :

Received : January 10, 2016; Accepted : August 21, 2016.