Numerical method for variable-order space fractional diffusion equation and applications

Bhausaheb R. Sontakke; Abhijeet Shelke

doi:10.26637/mjm501/005

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

Mathematics Subject Classification:

46B40, 46B42, 47B60, 47B65

Authors Imprint References Funding Related Articles Downloads

Bhausaheb R. Sontakke Department of Mathematics, Pratishthan Mahavidyalya, Paithan, Aurangabad(MS), India. https://orcid.org/0000-0002-6071-0659
Abhijeet Shelke Research Student, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (MS), India.

Pages: 41-49
Date Published: 01-01-2017
Vol. 5 No. 01 (2017): Malaya Journal of Matematik (MJM)

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