Results 11 to 20 of about 2,201,987 (292)
Point sources identification problems with pointwise overdetermination
, 2023 This article is actually a survey of the results obtained in the previous articles of the authors. In some model cases, we discuss the uniqueness and existence results for some classes of inverse problems. The results uses a new approach based on asymptotic representations of the Green function of the corresponding elliptic ...
Pyatkov, Sergey, Neustroeva, Lyubov
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Mathematics, 2023 Hybrid approaches combining machine learning with traditional inverse problem solution methods represent a promising direction for the further development of inverse modeling algorithms.
Alexey Penenko +4 more
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Source identification in river pollution problems: A geostatistical approach [PDF]
Water Resources Research, 2005 The geostatistical method, formulated in the groundwater field, has been applied to identify contaminant sources in river pollution problems. The problem consists of recovering a contaminant source at a known location from a finite number of concentration measurements.
BOANO, Fulvio +2 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation.
C. Ashyralyyev, A. Cay
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TIME-DEPENDENT SOURCE IDENTIFICATION SCHR\"{O}DINGER TYPE PROBLEM [PDF]
International Journal of Apllied Mathematics, 2021 In this study, the source identification problem with non-local boundary conditions for the time-dependent, one-dimensional Schrödinger equation is studied. Stability estimates are constructed for the solution of source identification problem. A first order of accuracy difference scheme is investigated for the numerical solution of this problem. © 2021
Ashyralyev A., Urun M.
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Stability of the time-dependent identification problem for delay hyperbolic equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors.
A. Ashyralyev, B. Haso
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A numerical algorithm for the source identification telegraph problem [PDF]
AIP Conference Proceedings, 2021 In the present paper, source identification problem for the telegraph equation is investigated. The first order of accuracy absolute stable difference scheme for the numerical solution of the one dimensional identification problem for the telegraph equation with the Dirichlet condition is presented. Some numerical results are provided.
Ashyralyev A., Al-Hazaimeh H.
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A note on well-posedness of source identification elliptic problem in a Banach space
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H¨older norms are obtained. In applications, four elliptic source identification
A. Ashyralyev +2 more
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A Genetic Algorithm for Pointwise Source Reconstruction by the Method of Fundamental Solutions
Trends in Computational and Applied Mathematics, 2022 Inverse source reconstruction problems offer great potential for applications of interest to engineering, such as the identification of polluting sources, and to medicine, such as electroencephalography, to cite at least two relevant examples.
J. R. Faria
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A note on the parabolic identification problem with involution and Dirichlet condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan, A. Sarsenbi
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