Results 221 to 230 of about 7,805 (260)
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Solving a backward heat conduction problem by variational method
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Yun-Jie +2 more
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A modified method for a backward heat conduction problem
Applied Mathematics and Computation, 2007The authors introduce a new method to consider the ill-posed problem of the backward heat conduction. Several theorems for convergence and error analysis are developed, unfortunately, asymptotic error estimate could not be proved. The developed method is illustrated by numercal experiments.
Qian, Zhi, Fu, Chu-Li, Shi, Rui
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Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates
Journal of Applied Mathematics and Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ankita Shukla, Mani Mehra
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Optimal control problem for the backward heat equation
Siberian Mathematical Journal, 1992The optimal control problem of minimizing a quadratic functional for the system described by the Cauchy problem for the backward heat equation in which the control appears in boundary conditions is investigated. Under suitable conditions the existence and uniqueness of the optimal solution is proved.
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Group preserving scheme for backward heat conduction problems
International Journal of Heat and Mass Transfer, 2004Inverse one-dimensional transient heat conduction problem is considered. Known are the Dirichlet boundary conditions and final time. The initial conditions are sought for. The algorithm starts with a transformation \(s=T-t\) to invert the arrow of time.
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On a Backward Heat Conduction Problem Associated with Asymmetric Final Data
Acta Mathematica Vietnamica, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Minh Triet +2 more
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Some filter regularization methods for a backward heat conduction problem
Applied Mathematics and Computation, 2011The authors propose some filter regularization methods for a backward heat conduction problem. Convergence estimates under a-priori bound assumptions for the exact solution are derived. Some theorems are proved. The method is illustrated by two numerical examples wherein the exact solutions are compared with the approximate solutions with certain ...
Qin, Hai-Hua, Wei, Ting
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Two numerical methods for solving a backward heat conduction problem
Applied Mathematics and Computation, 2006Two stable numerical methods for the backward heat conduction problem are presented. The methods seem not new. The choice of the space-step in the central finite-difference method is not justified theoretically. The paper seems an academical numerical exercise.
Xiong, Xiang-Tuan, Fu, Chu-Li, Qian, Zhi
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A nonlinearly backward heat problem: uniqueness, regularization and error estimate
Applicable Analysis, 2006We consider the problem of finding, from the final data u(x,T) = ϕ(x), the temperature u satisfying The problem is nonlinearly ill-posed. We shall use the Fourier transforms to get a nonlinear integral equation and give a regularized solution by perturbing directly the integral equation. Error estimates are given.
Pham Hoang Quan, Dang Duc Trong
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A Neural Network Approach In A Backward Heat Conduction Problem
Anais do 4. Congresso Brasileiro de Redes Neurais, 2016This paper describes the experiments conducted in determining the initial temperature distribution on a slab with adiabatic boundary conditions, from a transient temperature distribution, obtained at a given time. This is an ill-posed inverse problem, where the initial condition has to be estimated.
Fabio Tokio Mikki +5 more
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