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The Solution of Backward Heat Conduction Problem with Piecewise Linear Heat Transfer Coefficient [PDF]
Mathematics, 2019 In the fields of continuous casting and the roll stepped cooling, the heat transfer coefficient is piecewise linear. However, few papers discuss the solution of the backward heat conduction problem in this situation.
Yang Yu +3 more
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Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative [PDF]
Complexity, 2020 In this paper, we consider the nonlinear inverse-time heat problem with a conformable derivative concerning the time variable. This problem is severely ill posed.
Vu Ho, Donal O’Regan, Hoa Ngo Van
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Quasi-boundary Value Method for Backward Heat Conduction Equation with Variable Coefficients
Journal of Harbin University of Science and Technology, 2023 Aiming at the problem of inhomogeneous backward heat conduction equation with time-dependent coefficients in a one- dimensional region , the quasi-boundary value method is used to solve this problem.
YANGTianhao, SUNWei
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Open Mathematics, 2023 In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
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Numerical Method for Solving Nonhomogeneous Backward Heat Conduction Problem
International Journal of Differential Equations, 2018 In this paper we consider a numerical method for solving nonhomogeneous backward heat conduction problem. Coupled with the likewise Crank Nicolson scheme and an intermediate variable, the backward problem is transformed to a nonhomogeneous Helmholtz type
LingDe Su, TongSong Jiang
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Applied Sciences, 2020 In this article, a novel meshless method using space–time radial polynomial basis function (SRPBF) for solving backward heat conduction problems is proposed.
Cheng-Yu Ku +3 more
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Nonlinear Engineering, 2023 In this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input ...
Rahimi Mostafa, Rostamy Davood
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Science and Technology of Advanced Materials: Methods, 2023 In materials design, it is very difficult to accurately design forward problems owing to the variety of scales and phenomena to be considered and the increasing number of input and output variables.
Satoshi Minamoto +2 more
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Determination temperature of a heat equation from the final value data [PDF]
Surveys in Mathematics and its Applications, 2012 We introduce the truncation method for solving a backward heat conduction problem. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods.
Tuan H. Nguyen +3 more
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A noniterative domain decomposition method for the forward-backward heat equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 A nonoverlapping domain decomposition technique applied to a finite difference method is presented for the numerical solution of the forward backward heat equation in the case of one-dimension.
S. Banei, K. Shanazari
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