Zobrazeno 1 - 10
of 452
pro vyhledávání: '"Tikhonov regularization method"'
Publikováno v:
Modelling, Vol 5, Iss 2, Pp 530-548 (2024)
The modeling of many problems of practical interest leads to nonlinear ill-posed equations (for example, the parameter identification problem (see the Numerical section)). In this article, we introduce a new source condition (SC) and a new parameter
Externí odkaz:
https://doaj.org/article/d7a30025bcdc4d05b5c18687ff266aeb
Autor:
Chaoran Cui, Lingjing Xu
Publikováno v:
Journal of Marine Science and Engineering, Vol 12, Iss 10, p 1743 (2024)
The mesoscale interaction between sea surface temperature (SST) and wind is a crucial factor influencing oceanic and atmospheric conditions. To investigate the mesoscale coupling characteristics of the Yellow Sea and East China Sea, we applied a loca
Externí odkaz:
https://doaj.org/article/dea1193d784343bf8f42cd30f416d9f2
Publikováno v:
Fractal and Fractional, Vol 8, Iss 10, p 601 (2024)
The aim of this paper is to identify a time-independent source term in the Rayleigh–Stokes equation with a fractional derivative where additional data are considered at a fixed time point. This inverse problem is proved to be ill-posed in the sense
Externí odkaz:
https://doaj.org/article/1feeffa7f8734fa5b0189eea50fb3a5c
Autor:
S. Pishbin, A. Ebadi
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 13, Iss 2, Pp 205-223 (2023)
In this paper, a generalized version of the auto-convolution Volterra integral equation of the first kind as an ill-posed problem is studied. We apply the piecewise polynomial collocation method to reduce the numerical solution of this equation to a
Externí odkaz:
https://doaj.org/article/e58da28a87e04d8d84ec7a8e84b78e48
Autor:
Evgeniy B. Laneev, Obaida Baaj
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 30, Iss 4, Pp 342-356 (2022)
The paper considers mathematical methods of correction of thermographic images (thermograms) in the form of temperature distribution on the surface of the object under study, obtained using a thermal imager. The thermogram reproduces the image of the
Externí odkaz:
https://doaj.org/article/a69899adc479449682e9ce6374681f85
Autor:
Obaida Baaj
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 30, Iss 3, Pp 205-216 (2022)
The work is devoted to the construction of computational algorithms implementing the method of correction of thermographic images. The correction is carried out on the basis of solving some ill-posed mixed problem for the Laplace equation in a cylind
Externí odkaz:
https://doaj.org/article/5324013ad3a2418fa74ca45b17da7b96
Autor:
Yu Shen, Xiangtuan Xiong
Publikováno v:
Symmetry, Vol 16, Iss 2, p 134 (2024)
This paper solves the inverse source problem of heat conduction in which the source term only varies with time. The application of the discrete regularization method, a kind of effective radial symmetry and axisymmetric heat conduction problem source
Externí odkaz:
https://doaj.org/article/f9efcedb03d44cf9a7d7f9ed3745e388
Publikováno v:
Mathematics, Vol 12, Iss 2, p 231 (2024)
In this paper, we delve into the challenge of identifying an unknown source in a space-time fractional diffusion-wave equation. Through an analysis of the exact solution, it becomes evident that the problem is ill-posed. To address this, we employ bo
Externí odkaz:
https://doaj.org/article/16af3223cbad457699e90b68fc60a35e
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