Regular approximation for boundary condition in inverse problem of thermal diagnostics

Authors

  • Anna Ivanovna Sidikova South Ural State University
  • Sergey Igorevich Belkov South Ural State University

Keywords:

inverse problem, regularization, estimation error, ill-posed problem, Fourier transformation

Abstract

Until recently at the solution of the problem the accuracy of the root-mean-square approximation has been increased through the development of optimum methods. The drawback of  the root-mean-square approximation is unreliability of sufficient accuracy for concrete values of t. Thus, the algorithm of definition of regular approximation is considered in the article.  Regular estimator of this approximation is given.

Author Biographies

Anna Ivanovna Sidikova, South Ural State University

Cand. Sc. (Physics and Mathematics), Associate Professor, Calculating Mathematics Department

Sergey Igorevich Belkov, South Ural State University

Undergraduate Student, Calculating Mathematics Department

Published

2014-04-07

Issue

Section

Mathematics