A difference method of solving the Steklov nonlocal boundary value problem of the second kind for the time-fractional diffusion equation

Abstract

We consider difference schemes for the time-fractional diffusion equation with variable coefficients and nonlocal boundary conditions containing real parameters $\alpha$, $\beta$ and $\gamma$. 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. The obtained results are supported by the numerical calculations carried out for some test problems.

12 pages, 5 tabels. arXiv admin note: text overlap with arXiv:1312.4864

References in corpus (2)

• A new difference scheme for the time fractional diffusion equation
• Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation