%0 Journal Article %A Kirichok, Tetiana %A Synah, Marina %A Kushnir, Dmytro %D 2016 %I Begell House %K anomalous diffusion equation, Riesz fractional derivative, two-dimensional Laplacian, first type integral equation %N 1 %P 49-55 %R 10.1615/ComputThermalScien.2016011543 %T TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM FOR SYMMETRIC EQUATION OF ANOMALOUS DIFFUSION %U https://www.dl.begellhouse.com/journals/648192910890cd0e,37b3771b33faff89,1abe9ec86fe41350.html %V 8 %X In this paper, we propose a new numerical-analytical method of solving the boundary value problem for a symmetric equation of anomalous diffusion in a bounded 2D-region. The fundamental solutions of diffusion equations in the plane of Laplace transform are found as an auxiliary problem. With the help of the fundamental solutions, the boundary value problem is reduced to a singular integral equation of the first kind, which is solved numerically by successive approximations. The calculation results in the circular domain are presented. %8 2016-07-25