# Numerical solution of an inverse problem of determining the parameters of a source of groundwater pollution

A. L. Karchevsky, Y. M. Turganbayev, S. J. Rakhmetullina, Z. H.T. Beldeubayeva

Research output: Contribution to journalArticle

### Abstract

The article deals with an inverse problem of determining parameters of groundwater 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.

Original language English 53-73 21 Eurasian Journal of Mathematical and Computer Applications 5 1 Published - Jan 1 2017

### Fingerprint

Groundwater pollution
Ground Water
Pollution
Inverse problems
Inverse Problem
Numerical Solution
Recovery
Contamination
Parallelization
Computing

### Keywords

• Groundwater pollution
• Inverse problem
• Volterra integral equation of the 1-st kind

### ASJC Scopus subject areas

• Information Systems
• Modelling and Simulation
• Mathematical Physics
• Computer Science Applications
• Computational Mathematics
• Applied Mathematics

### Cite this

Numerical solution of an inverse problem of determining the parameters of a source of groundwater pollution. / Karchevsky, A. L.; Turganbayev, Y. M.; Rakhmetullina, S. J.; Beldeubayeva, Z. H.T.

In: Eurasian Journal of Mathematical and Computer Applications, Vol. 5, No. 1, 01.01.2017, p. 53-73.

Research output: Contribution to journalArticle

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