Results 21 to 30 of about 8,522 (253)
On a fractional backward heat conduction problem: Application to deblurring
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ming Li 0012, Xiangtuan Xiong
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Exponential Euler and backward Euler methods for nonlinear heat conduction problems
Keldysh Institute Preprints, 2023 In this paper a variant of nonlinear exponential Euler scheme is proposed for solving nonlinear heat conduction problems. The method is based on nonlinear iterations where at each iteration a linear initial-value problem has to be solved. We compare this method to the backward Euler method combined with nonlinear iterations.
Mikhail Aleksandrovich Botchev +1 more
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A two-dimensional backward heat problem with statistical discrete data [PDF]
Journal of Inverse and Ill-posed Problems, 2017 Abstract We focus on the nonhomogeneous backward heat problem of finding the initial temperature θ = θ
Minh, Nguyen Dang +3 more
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Shape identification of the jet-grouted column based on the thermal analysis and differential evolution [PDF]
Archives of Civil Engineering, 2023 In the paper, an indirect method for the identification of the final shape of the freshly executed jet-grouted column is developed. The method relies on the backward analysis of the temperatures measured inside the column, along the trace of the ...
Marek Wojciechowski
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A variational technique of mollification applied to backward heat conduction problems
Applied Mathematics and Computation, 2023 This paper addresses a backward heat conduction problem with fractional Laplacian and time-dependent coefficient in an unbounded domain. The problem models generalized diffusion processes and is well-known to be severely ill-posed. We investigate a simple and powerful variational regularization technique based on mollification.
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Journal of Function Spaces, 2022 The main goal of the paper is to approximate two types of inverse problems for conformable heat equation (or called parabolic equation with conformable operator); as follows, we considered two cases: the right hand side of equation such that Fx,t and Fx ...
L. D. Long, Reza Saadati
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Convergency and Stability of Explicit and Implicit Schemes in the Simulation of the Heat Equation
Applied Sciences, 2021 Some strategies for solving differential equations based on the finite difference method are presented: forward time centered space (FTSC), backward time centered space (BTSC), and the Crank-Nicolson scheme (CN).
Franyelit Suárez-Carreño +1 more
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Numerical Analysis of a Swelling Poro-Thermoelastic Problem with Second Sound
Mathematics, 2023 In this paper, we analyze, from the numerical point of view, a swelling porous thermo-elastic problem. The so-called second-sound effect is introduced and modeled by using the simplest Maxwell–Cattaneo law. This problem leads to a coupled system which is
Noelia Bazarra +2 more
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On the backward heat problem: evaluation of the norm of ∂u∂t
International Journal of Mathematics and Mathematical Sciences, 1980 We show in this paper that ‖Δu‖=‖ut‖ is bounded ∀t≤T(0)
Yves Biollay
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A filter method for inverse nonlinear sideways heat equation
Advances in Difference Equations, 2020 In this paper, we study a sideways heat equation with a nonlinear source in a bounded domain, in which the Cauchy data at x = X $x = \mathcal {X}$ are given and the solution in 0 ≤ x < X $0 \le x < \mathcal {X}$ is sought.
Nguyen Anh Triet +4 more
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