S. Kh. Gekkieva, B. M. Kerefov, “Method of lines solution for solution of the first boundary value problem for diffusion equation of fractional order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, Number 4-1(16),Pages <nobr>27

MATHEMATICS

Method of lines solution for solution of the first boundary value problem for diffusion equation of fractional order

S. Kh. Gekkieva^a, B. M. Kerefov^b

^a Institute of Applied Mathematics and Automation
^b Kabardino-Balkarian State University

Abstract: In the paper we study the first boundary value problem for the diffusion equation of fractional order. A solution in its difference form is obtained by the method of lines.

Keywords: diffusion equation, fractional derivative, method of lines.

UDC: 517.95

MSC: 35E99

Received: 25.11.2016

DOI: 10.18454/2079-6641-2016-16-4-1-27-31