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arXiv · 1405.0030

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

A. A. Alikhanov
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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.

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A. A. Alikhanov. 2014-04-30. A difference method of solving the Steklov nonlocal boundary value problem of the second kind for the time-fractional diffusion equation. https://arxiv.org/abs/1405.0030

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