Error Estimation of Approximate Solution of Integral Equation by Residual Method

Authors

  • Anna Ivanovna Sidikova South Ural State University
  • Evgeniy Yur'evich Vishnyakov South Ural State University
  • Anna Aleksandrovna Ershova South Ural State University

Keywords:

regularity, module of continuity, error estimation, ill-posed problem, residual principle

Abstract

Error estimation of approximate solution is obtained for integral equation by residual method. Discretization of integral equation is performed and discretization error is estimated.

Author Biographies

Anna Ivanovna Sidikova, South Ural State University

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

Evgeniy Yur'evich Vishnyakov, South Ural State University

Post-graduate Student, Calculating Mathematics Department

Anna Aleksandrovna Ershova, South Ural State University

Post-graduate Student, Department of Theory of Management and Optimization

Published

2015-06-22

Issue

Section

Mathematics