### 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 |
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Pages (from-to) | 53-73 |

Number of pages | 21 |

Journal | Eurasian Journal of Mathematical and Computer Applications |

Volume | 5 |

Issue number | 1 |

Publication status | Published - Jan 1 2017 |

### Fingerprint

### 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

*Eurasian Journal of Mathematical and Computer Applications*,

*5*(1), 53-73.

**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.

Research output: Contribution to journal › Article

*Eurasian Journal of Mathematical and Computer Applications*, vol. 5, no. 1, pp. 53-73.

}

TY - JOUR

T1 - Numerical solution of an inverse problem of determining the parameters of a source of groundwater pollution

AU - Karchevsky, A. L.

AU - Turganbayev, Y. M.

AU - Rakhmetullina, S. J.

AU - Beldeubayeva, Z. H.T.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Groundwater pollution

KW - Inverse problem

KW - Volterra integral equation of the 1-st kind

UR - http://www.scopus.com/inward/record.url?scp=85018347895&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018347895&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85018347895

VL - 5

SP - 53

EP - 73

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

SN - 2306-6172

IS - 1

ER -