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 journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)53-73
Number of pages21
JournalEurasian Journal of Mathematical and Computer Applications
Volume5
Issue number1
DOIs
Publication statusPublished - 2017

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

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