This article is cited in 1 paper

MATHEMATICS. MATHEMATIC MODELING

Stability and convergence of differences schemes approximating boundary value problems for equation of Allera with the fractional derivative on time

Ph. A. Karova

Kabardin-Balkar State University named after H.M. Berbekov, 360004, KBR, Nalchik, 173, Chernyshevsky street

Abstract: Moisture movement in capillary porous environments is described by the equation of Allera. Solutions of boundary value problems for the equation of Allera in differential and difference settings are studied. By the method of energy inequalities for the solution of the difference problem, we obtain a priori estimates. The obtained results are supported by numerical calculations carried out for some test problem.

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

UDC: 519.633

Received: 17.02.2015

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