A FINITE-DIFFERENCE SCHEME FOR A LINEAR MULTI-TERM FRACTIONAL-IN-TIME DIFFERENTIAL EQUATION WITH CONCENTRATED CAPACITIES.

In this paper, we consider a linear multi-term subdifiusion equation with coefi-cients which contain Dirac distributions. Also, we consider subdifiusion equations with dynamical boundary conditions. The existence of generalized solutions of these initial-boundary value prob-lems is proved. An implicit finite difierence scheme is proposed and its stability and convergence rate are investigated in both cases. The corresponding difierence schemes are tested on numerical examples. [ABSTRACT FROM AUTHOR]