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Resolving Power of Algorithm for Solving the Coefficient Inverse Problem for the Geoelectric Equation
Author(s) -
К.Т. Искаков,
Zhanar Oralbekova
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/545689
Subject(s) - inverse problem , stability (learning theory) , inverse , integral equation , mathematics , power (physics) , computer science , algorithm , mathematical optimization , mathematical analysis , physics , geometry , machine learning , quantum mechanics
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.

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