A Difference Method for Solving the Steklov Nonlocal Boundary Value Problem of Second Kind for the Time-Fractional Diffusion Equation

作者：Alikhanov Anatoly A

来源：Computational Methods in Applied Mathematics, 2017, 17(1): 1-16.

DOI：10.1515/cmam-2016-0030

<jats:title>Abstract</jats:title><jats:p>We consider difference schemes for the time-fractional diffusion equation with variable coefficients and nonlocal boundary conditions containing real parameters α, β and γ. 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.</jats:p>

• 出版日期2017-1
• 单位Russian Academy of Sciences