This article is cited in 1 paper

Spline-interpolation solution of elasticity theory problems

P. N. Ivanshin

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: A spline-interpolation solution of static and dynamic elasticity theory problems is suggested. The method allows to solve the problems for solids with plane sections parallel to the plane $XOY$. We reduce space and dynamic problems to the series of plane boundary-value problems. The recursive formulas are obtained to determine the spline coefficients. The convergence of the constructed approximate solutions to the exact solutions is proved.

Keywords: spline interpolation, elasticity theory, dynamic problem, polyharmonic functions.

UDC: 517.9+531

Received: 29.05.2015

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