Mathematics

About solving one boundary inverse problem for parabolic equation

E. V. Tabarintseva

South Ural State University

Abstract: The problem of restoration of boundary conditions of the third genre using additional information about decision of the parabolic equation is considered. The method of the approached solution of the set problem with a choice of parameter of regularization using M. M. Lavrenteva's scheme [1] and one of schemes of a posteriori choice of regularization parameter is considered. The exact in order estimation of error of the constructed approximate answer based on one of the classes of the uniform regularization is received.

Keywords: inverse problem, approximate answer method, error estimation.

UDC: 517.948

Received: 20.04.2010