Abstract
A boundary value problem for fractional power of an elliptic operator is addressed. To solve it, integral representation through solution of a standard problem for parabolic equation is used. Quadrature generalized Gauss–Laguerre formulas are constructed. The effect of key parameters on the accuracy of approximate solution of both the number of nodes in the quadrature formula and the fractional power of operator is investigated. Computational experiments for a model two-dimensional problem with fractional power of elliptic operator are carried out.
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