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math.NA2014
A difference method of solving the Steklov nonlocal boundary value problem of the second kind for the time-fractional diffusion equation
A. A. Alikhanov
We consider difference schemes for the time-fractional diffusion equation with variable coefficients and nonlocal boundary conditions containing real parameters , and . B…
math.NA2014★ 904 cited
A new difference scheme for the time fractional diffusion equation
A. A. Alikhanov
In this paper we construct a new difference analog of the Caputo fractional derivative (called the - formula). The basic properties of this difference operator are investi…