A difference method of solving the Steklov nonlocal boundary value problem of the second kind for the timefractional diffusion equation
Abstract
We consider difference schemes for the timefractional 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.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 arXiv:
 arXiv:1405.0030
 Bibcode:
 2014arXiv1405.0030A
 Keywords:

 Mathematics  Numerical Analysis
 EPrint:
 12 pages, 5 tabels. arXiv admin note: text overlap with arXiv:1312.4864