Title of article
NUMERICAL SOLUTION OF AN INVERSE PROBLEM OF DETERMINING THE PARAMETERS OF A SOURCE OF GROUNDWATER POLLUTION
Author/Authors
Karchevsky, A.L. Sobolev Institute of Mathematics SB RAS, Russia , Turganbayev, Y.M. Graduate School of Business - Nazarbayev University, Kazakhstan, Astana, Kabanbay , Rakhmetullina, S.J. East Kazakhstan State Technical University, Kazakhstan, Protozanova , Beldeubayeva, Zh.T. East Kazakhstan State Technical University, Kazakhstan, Protozanova
Pages
21
From page
53
To page
73
Abstract
The article deals with an inverse problem of determining parameters of ground-
water pollution sources. We test three ways to solve the problem on the simulated data for
a simple case of contamination. We discover that, in the presence of noise in the data of the
inverse problem, the first method does not produce satisfactory recovery results, while the
second and third ones are comparable in accuracy of the recovery of required parameters.
Taking into account the ease of implementation, the speed of computing and parallelization
feasibility the second method of solving the inverse problem is found to be most preferable.
We also propose a method of finding pollution parameters in general case.
Keywords
inverse problem , groundwater pollution , Volterra integral equation of the 1-st kind
Journal title
Eurasian Journal of Mathematical and Computer Applications
Serial Year
2017
Record number
2601266
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