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pro vyhledávání: '"Parabolic cylindrical coordinates"'
Publikováno v:
Introduction to Inverse Problems for Differential Equations ISBN: 9783030794262
Introduction to Inverse Problems for Differential Equations ISBN: 9783319627960
Introduction to Inverse Problems for Differential Equations ISBN: 9783319627960
This Chapter deals with inverse coefficient problems for linear second-order 1D parabolic equations. We establish, first, a relationship between solutions of direct problems for parabolic and hyperbolic equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42db9292faab19b074e60035d9ccebb9
https://doi.org/10.1007/978-3-030-79427-9_6
https://doi.org/10.1007/978-3-030-79427-9_6
Autor:
Satya Deo, Deepak Kumar Maurya
Publikováno v:
International Journal of Applied and Computational Mathematics. 6
The present work concerns the general stream function solution of the Brinkman equation in parabolic cylindrical coordinates, arising in the study of fluid flow through porous medium. Analytical stream function solutions of this equation are availabl
Publikováno v:
Geophysical Prospecting. 66:27-39
SUMMARY When modelling the propagation of 3-D non-axisymmetric viscoelastic waves in cylindrical coordinates using the finite-difference time-domain (FDTD) method, one encounters a mathematical singularity due to the presence of 1/r terms in the visc
Autor:
Ivan V. Andronov, Boris P. Belinskiy
Publikováno v:
Journal of Mathematical Analysis and Applications. 456:1176-1202
Previously, the parabolic equation method was used to study the high-frequency acoustic diffraction by a strongly elongated spheroid. This paper represents a continuation of that study. We justify some formal steps of the parabolic equation method at
Publikováno v:
Computers & Fluids. 157:112-130
For a Lagrangian scheme solving the compressible Euler equations in cylindrical coordinates, two important issues are whether the scheme can maintain spherical symmetry (symmetry-preserving) and whether the scheme can maintain positivity of density a
Publikováno v:
Nonautonomous Dynamical Systems, Vol 4, Iss 1, Pp 40-51 (2017)
We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse proble
Autor:
M.V. Novgorodskaya, P.A. Medvedev
Publikováno v:
Geodesy and Cartography. 926:10-19
Algorithms with improved convergence for the calculation of rectangular coordinates in the Gauss – Kruger coordinate system according to the parameters of any ellipsoid were designed. The approach of definition the spherical components in the class
Publikováno v:
Computational and Applied Mathematics. 37:3241-3255
In this paper, we deal with an asymmetric case of the non-homogeneous backward parabolic problem associated with time-dependent diffusivity in polar coordinates which arises in describing the heat transfer in cylinder. In general, this problem is sev
Autor:
Petr N. Vabishchevich
Publikováno v:
Computational Mathematics and Mathematical Physics. 57:1511-1527
A new class of domain decomposition schemes for finding approximate solutions of timedependent problems for partial differential equations is proposed and studied. A boundary value problem for a second-order parabolic equation is used as a model prob
Autor:
Amin Boumenir
Publikováno v:
Mathematical Methods in the Applied Sciences. 40:5881-5892
We are concerned with the identification and reconstruction of the coefficients of a linear parabolic system from finite time observations of the solution on the boundary. We present two procedures depending on whether the spectrum of the system is s