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Mathematical Problems in Engineering
Volume 2014, Article ID 545689, 9 pages
http://dx.doi.org/10.1155/2014/545689
Research Article

Resolving Power of Algorithm for Solving the Coefficient Inverse Problem for the Geoelectric Equation

L.N. Gumilyov Eurasian National University, Faculty of Information Technologies, Astana 010008, Kazakhstan

Received 9 April 2014; Revised 27 June 2014; Accepted 13 July 2014; Published 6 August 2014

Academic Editor: Valery G. Yakhno

Copyright © 2014 K. T. Iskakov and Zh. O. Oralbekova. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We considered the inverse coefficient problem for the geoelectric equation. For the purpose of research of the conditional stability of the inverse problem solution, we used integral formulation of the inverse geoelectric problem. By implementing the relevant norms and using the close system of Volterra integral equations, we managed to estimate the conditional stability of the solution of inverse problem or rather lower changes in input data imply lower changes in the solution (of the numerical method). When determining the additional information the device errors are possible. That is why this research is important for experimental studies with usage of ground penetrating radars.