• 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