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math.NA2019★ 1 cited
The Crank-Nicholson type compact difference scheme for a loaded time-fractional Hallaire's equation
Anatoly Alikhanov, Murat Beshtokov, Mani Mehra
In this paper, we study loaded modified diffusion equation (the Hallaire equation with the fractional derivative with respect to time). The compact finite difference scheme of Cran…
math.NA2019
About one method of parallelization of calculations during the reconstruction of a tomographic image
A. A. Alikhanov, A. M. Apekov, Z. A. Kokov +2
A new method for solving systems of linear algebraic equations of a special type arising in solving problems of image reconstruction has been proposed. This method, due to a certai…