Mathematics

About solving of an ill-posed problem for a nonlinear differential equation by means of the projection regularization method

E. V. Tabarintseva

South Ural State University

Abstract: A retrospective inverse problem for a semi-linear differential equation is studied. The projection regularization method with the choice of the regularization parameter by means of M. M. Lavrentiev scheme is used to find a stable approximate solution to the ill-posed problem under consideration. An explicit evaluation of inaccuracy of this method was measured on one of the cases of robustness.

Keywords: inverse problem; nonlinear differential equation; approximate method; evaluation of inaccuracy.

UDC: 517.948

Received: 15.02.2013