Results 231 to 240 of about 8,522 (253)

Different approaches for the solution of a backward heat conduction problem

Inverse Problems in Engineering, 2003
This work presents a comparison of three different techniques to solve the inverse heat conduction problem involving the estimation of the unknown initial condition for a one-dimensional slab, whose solution is obtained through minimization of a known functional form.
Leonardo D. Chiwiacowsky*, Haroldo F. de Campos Velho   +1 more
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Backward solutions to Neumann and Dirichlet problems of heat-conduction equation

Applied Mathematics and Computation, 2009
A general p-Laplacian heat-conduction equation with Neumann or Dirichlet boundary condition is considered. The results extend previous known results of uniqueness backwards in time also for this generalized model. For this purpose energy methods are used. Finally a reasonable physical interpretation for the obtained conclusion is given.
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A Neural Network Approach In A Backward Heat Conduction Problem

Anais do 4. Congresso Brasileiro de Redes Neurais, 2016
This 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, Edison Issamoto, Jefferson I. da Luz, Pedro Paulo Balbi de Oliveira, Haroldo F. Campos-Velho, Jose Demisio Simoes da Silva   +5 more
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Regularized kernel function methods for the backward heat conduction problem

Applied Mathematics Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. J. Hu, F. Z. Geng 0001, C. N. Li
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A new regularized method for two dimensional nonhomogeneous backward heat problem

Applied Mathematics and Computation, 2009
The two-dimensional backward heat equation \[ u_t= u_{xx}+ u_{yy}+ f(x,y,t),\quad ...
Nguyen Huy Tuan, Dang Duc Trong
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ASYMPTOTIC BEHAVIOR FOR TWO REGULARIZATIONS OF THE CAUCHY PROBLEM FOR THE BACKWARD HEAT EQUATION

Mathematical Models and Methods in Applied Sciences, 1998
One method of regularizing the initial value problem for the backward heat equation involves replacing the equation by a singularly perturbed hyperbolic equation which is equivalent to a damped wave equation with negative damping. Another regularization of this problem is obtained by perturbing the initial condition rather than the differential ...
Ames, K. A., Payne, L. E.
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On an asymmetric backward heat problem with the space and time-dependent heat source on a disk

Journal of Inverse and Ill-posed Problems, 2018
Abstract In this article, we investigate the backward heat problem (BHP) which is a classical ill-posed problem. Although there are many papers relating to the BHP in many domains, considering this problem in polar coordinates is still scarce.
Minh Le, Triet, Hoang Pham, Quan, Hong Luu, Phong   +2 more
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Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates

Journal of Applied Mathematics and Computing, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ankita Shukla, Mani Mehra
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AN INVERSION METHOD WITH DECREASING REGULARIZATION FOR THE BACKWARD HEAT CONDUCTION PROBLEM

Numerical Heat Transfer, Part B: Fundamentals, 2002
In this article an iterative algorithm is proposed for solving numerically the one-dimensional backward heat conduction problem (BHCP). The algorithm consists of using iteratively a least-squares fitting of the given data with a regularization term that decreases as the number of iterations increases.
N. S. Mera, L. Elliott, D. B. Ingham
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ON STABILITY ESTIMATE FOR A BACKWARD HEAT TRANSFER PROBLEM

Recent Development in Theories and Numerics, 2003
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