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国际计算热科学期刊
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN 打印: 1940-2503
ISSN 在线: 1940-2554

国际计算热科学期刊

DOI: 10.1615/ComputThermalScien.2016011543
pages 49-55

TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM FOR SYMMETRIC EQUATION OF ANOMALOUS DIFFUSION

Tetiana Kirichok
Sumy State University, Sumy, 40007, Ukraine
Marina Synah
Sumy State University, Sumy, 40007, Ukraine; NetCracker Technology, Sumy, 40000, Ukraine
Dmytro Kushnir
Sumy State University, Sumy, 40007, Ukraine

ABSTRACT

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.