Number: Math 76/94
Author(s): JANNO, Jaan, RAVASOO, Arvi.
Title: The method of finite differences in solving an inverse problem for oscillation of nonlinear viscoelastic rod. 18 p.
Language: English
Keywords: Hyperbolic equation; inverse problem; difference scheme.
ABSTRACT. An equation of motion of the one-dimensional
homogeneous nonlinear viscoelastic medium is deduced. An inverse
problem to determine two kernels from this equation is
formulated. The data of the problem are measured from two
independent experiments of rod oscillation. The inverse problem
is reduced to a system of hyperbolic and second kind Volterra
equations. The method of finite differences is applied to this
system.