This article is cited in 1 paper

Mathematics

About solution of the boundary inverse problem for a parabolic equation by means of subsidiary boundary conditions method

E. V. Tabarintseva

South Ural State University

Abstract: The author analyses the problem of recovery of boundary condition using additional information about parabolic equation solution. An approximate solution of the posed problem is done by the subsidiary boundary conditions method with choice of the regularization parameter by the Lavrentiev scheme [1] and one of the schemes of posteriori choice regularization parameter. The author obtains an order precise error evaluation of the built approximate solution at one of the uniform regularization classes.

Keywords: inverse problem, approximate method, error evaluation.

UDC: 517.948

Received: 15.02.2011