Results 11 to 20 of about 7,805 (260)

A new regularization for time-fractional backward heat conduction problem

Journal of Inverse and Ill-posed Problems, 2023
Abstract It is well known that the backward heat conduction problem of recovering the temperature u ⁢ ( ⋅
M. Thamban Nair, P. Danumjaya
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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, To Duc, Khanh, Tuan, Nguyen Huy, Trong, Dang Duc   +3 more
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A quasi-boundary value regularization method for the spherically symmetric backward heat conduction problem

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
doaj   +1 more source

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, Victor Timofeevich Zhukov   +1 more
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Solving Backward Heat Conduction Problems Using a Novel Space–Time Radial Polynomial Basis Function Collocation Method

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, Chih-Yu Liu, Jing-En Xiao, Ming-Ren Chen   +3 more
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Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem

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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MIOpt: optimization framework for backward problems on the basis of the concept of materials integration

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, Koyo Daimaru, Masahiko Demura   +2 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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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.
Li, Ming, Xiong, Xiangtuan
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Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative

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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