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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2014
- DOI:
- 10.48550/arXiv.1405.0030
- arXiv:
- arXiv:1405.0030
- Bibcode:
- 2014arXiv1405.0030A
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- 12 pages, 5 tabels. arXiv admin note: text overlap with arXiv:1312.4864