About Solving of an Ill-posed Problem for a Nonlinear Differential Equation by Means of the Projection Regularization Method
Authors
Elena Vladimirovna Tabarintseva
South Ural State University
Keywords:
inverse problem, nonlinear differential equation, approximate method, evaluation of inaccuracy
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.
Author Biography
Elena Vladimirovna Tabarintseva, South Ural State University
Associate Professor, Computational Mathematics Department
