Approximation method for the problems of mechanics of inhomogeneous hereditarily elastic bodies
We consider a boundary-value problem of mechanics of inhomogeneous hereditarily elastic bodies formulated as a linear equation with an operator of fractional integration, partial derivatives with respect to time and spatial variables, and polynomial-type coefficients of one of the variables. An approximate solution of this problem is constructed according to Dzyadyk's a-method combined with the use of the Laplace transformation. It is proved that the errors of the approximation of the required function and its derivatives decrease in geometric progression.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 9, pp 1356-1368.
Citation Example: Sinaiskii E. S. Approximation method for the problems of mechanics of inhomogeneous hereditarily elastic bodies // Ukr. Mat. Zh. - 1994. - 46, № 9. - pp. 1234–1245.