Abstract:
The paper presents a numerical method for determining the parameters of the memory function for a horizontally layered elastic medium with aftereffect. Numerical modeling made it possible to choose the optimal frequency range for constructing the residual functional. Numerical examples illustrating the solution of the inverse problem are presented.
Citation:
Z. R. Bozorov, “Numerical determining a memory function of a horizontally-stratified elastic medium with aftereffect”, Eurasian Journal of Mathematical and Computer Applications, 8:2 (2020), 28–40
\Bibitem{Boz20}
\by Z.~R.~Bozorov
\paper Numerical determining a memory function of a horizontally-stratified elastic medium with aftereffect
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2020
\vol 8
\issue 2
\pages 28--40
\mathnet{http://mi.mathnet.ru/ejmca156}
\crossref{https://doi.org/10.32523/2306-6172-2020-8-2-28-40}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85087024039}
Linking options:
https://www.mathnet.ru/eng/ejmca156
https://www.mathnet.ru/eng/ejmca/v8/i2/p28
This publication is cited in the following 4 articles:
Jonibek J. Jumaev, “NUMERICAL ANALYSIS OF INVERSE PROBLEMS FOR THE DIFFUSION EQUATION WITH INITIAL-BOUNDARY AND OVERDETERMINATION CONDITIONS”, J Math Sci, 2025
Marat Tomaev, Zhanna Totieva, “Numerical Solution of a Two-Dimensional Problem of Determining the Propagation Velocity of Seismic Waves in Inhomogeneous Medium of Memory Type”, Russian Journal of Earth Sciences, 2023, 1
D. K. Durdiev, J. Sh. Safarov, J. Sh. Safarov, “Inverse Problem for an Integrodifferential Equation of the Hyperbolic Type protect in a Rectangular Domain”, Math. Notes, 114:2 (2023), 199–211
A. A. Rakhmonov, U. D. Durdiev, Z. R. Bozorov, “Problem of determining the speed of sound and the memory of an anisotropic medium”, Theoret. and Math. Phys., 207:1 (2021), 494–513