COMPUTER SCIENCE. MATHEMATICS

The difference methods for solution of the Dirichlet boundary value problem for the fractional Aller's equation

Ph. A. Karova

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-а

Abstract: Moisture movement in capillary porous media is described by Aller's equation of [1]. Solution of boundary value problem for the fractional Aller's equation in differential and difference settings is studied. By the method of energy inequalities for the solution of the difference problem we obtain a priori estimates.

Keywords: fractional derivative, a priori estimate, difference scheme, stability and convergence.

UDC: 519.633

Received: 02.11.2016