Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation

Abstract

Difference schemes for the time-fractional diffusion equation with variable coefficients and nonlocal boundary conditions containing real parameters $\alpha$ and $\beta$ are considered. By the method of energy inequalities, for the solution of the difference problem, we obtain a priori estimates, which imply the stability and convergence of these difference schemes.

23 pages, 8 tables. This version generalizes the previos one

References in corpus (1)

• Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation

Cited by in corpus (1)

• A high-order L2 type difference scheme for the time-fractional diffusion equation