INFORMATION AND COMPUTATION TECHNOLOGIES

Difference scheme for the convection-diffusion equation of fractional order

E. M. Kazakova

Institute of Applied Mathematics and Automation KBSC RAS

Abstract: A difference scheme is constructed that approximates the first boundary value problem for the fractional-order convection-diffusion equation. The stability and convergence of the difference scheme.

Keywords: convection-diffusion equation, boundary-value problem, numerical solution, stability and convergence.

UDC: 519.633

MSC: 35R11

DOI: 10.26117/2079-6641-2021-36-3-146-154