Nurmangaliyeva Maya Bolatovna

Theme of the thesis

«Adequate numerical computation of inverse
problem in mathematical geophysics related to
ongoing potential fields towards the disturbing masses»

Scientific consultants from the Republic of Kazakhstan (with the academic titles and degrees, the names of the organization)

Temirbekov Nurlan Mukhanovich, Doctor of Physical and Mathematical Sciences, Professor, Hirsch Index-3, National Engineering Academy of the Republic of Kazakhstan, Vice President, Almaty
Scopus Author ID: 6506592930

Foreign scientific consultants (with the academic titles and degrees, the names of the organization)

Kabanikhin Sergey Igorevich, Doctor of Physical and Mathematical Sciences, Professor, Hirsch Index-15, Corresponding Member of the Russian Academy of Sciences,
Novosibirsk State University, Novosibirsk, RF
Scopus Author ID: 6602773229 

Main scientific results

1. Statement of the inverse problem of the solution of the Fredholm integral equation of the 1st kind for a large number of different right-hand sides.
2. Application of the method of regularization by A.N. Tikhonov for solving the inverse problem described by the Fredholm integral equation of the 1st kind.
3. Development of a discrete analogue of the inverse problem of mathematical geophysics about the continuation of potential fields towards the disturbing masses.

Direct result

1. Mathematical substantiation of the questions of approximation, stability, convergence of iterative algorithms for the numerical solution of the Fredholm integral equation of the 1st kind.
2. Creation of a computer program for testing the proposed algorithms.

Scientific works

1. Temirbekov N., Imangaliyev Y., Baigereyev D., Temirbekova L. Nurmangaliyeva M. Numerical simulation of inverse geochemistry problems by regularizing algorithms // Cogent Engineering, Vol.9, Issue 1, 2022,  pp. 1-21. https://doi.org/10.1080/23311916.2021.2003522
2. Temirbekov N., Temirbekova L., Nurmangaliyeva M. Numerical solution of the first kind of Fredholm integral equations by projection methods with wavelets as the basis functions // TWMS J. Pure Appl. Math., V.13, N.1, 2022, pp. 105-118 http://www.twmsj.az/Files/V.13%20N.1%202022/105-118.pdf
3. Темирбеков Н.М., Лось В.Л., Имангалиев Е.И., Байгереев Д.Р., Темирбекова Л.Н., Нурмангалиева М.Б. Модуль геоинформационной системы на основе численного моделирования обратных задач геохимии регуляризирующими алгоритмами // Вестник КазНПУ им.Абая. Серия физ-мат. науки.- Алматы, 2021.-№3(75).- С. 15-28.

Hirsch index

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Funded research projects

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Level of foreign language

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