Results 251 to 260 of about 106,224 (286)

Solution of a forward-backward heat equation

1996
Item does not contain ...
Lu, H., Wen, Z.Y.
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Optimal control problem for the backward heat equation

Siberian Mathematical Journal, 1992
The 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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Regularized solution for backward heat equation in Sobolev space

Mathematical Methods in the Applied Sciences, 2019
Inverse problems in partial deferential equations are severely ill posed in the sense of Hadamard. So the heat equation with a terminal condition problem is ill posed even in the sobolev space so regularization is needed. In this paper, we discuss about the convergence result of the approximation problem in the Sobolev space , which is well posed.
Sujeewa Hapuarachchi, Yongzhi S. Xu
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A backward nonlinear heat equation: regularization with error estimates

Applicable Analysis, 2005
In this article the authors consider a backward nonlinear heat equation. The uniqueness of the problem is proved and the problem is regularized by finite dimensional approximations. Error estimates in some particular cases are given.
Pham Hoang Quan, Nguyen Dung
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A spectral method for an axisymmetric backward heat equation

Inverse Problems in Science and Engineering, 2009
We consider the inverse time problem for an axisymmetric heat equation. The problem is ill-posed: the solution (if it exists) does not depend continuously on the final data. A spectral method is applied to formulate a regularized solution and some quite sharp error estimates for the regularized solution are given with suitable choices of regularization
Wei Cheng, Chu-Li Fu
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Numerical schemes for the forward–backward heat equation

International Journal of Computer Mathematics, 2010
This paper is concerned with a class of forward-backward heat equations. We use Saulyev's scheme to formulate certain approximation schemes. Then a non-overlap domain decomposition method is presented for the numerical solution. The numerical experiments show that the given algorithm is feasible and effective.
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Continuous dependence on geometry for the backward heat equation

Mathematical Methods in the Applied Sciences, 1984
AbstractIn this paper we are concerned with the development of criteria for stabilizing inherently unstable initial‐boundary value problems under small errors in the geometry of the underlying domain. We consider in particular the initial‐boundary‐value problem for the backward heat equation assuming that some error has been made in characterizing the ...
Crooke, P. S., Payne, L. E.
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Nonlinear wavelet methods for high-dimensional backward heat equation

Acta Mathematica Sinica, English Series, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Rui, Wang, Jin Ru
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Solution of a forward-backward heat equation

1994
9 p.
Lu, H., Wen, Z.-Yi.
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Solidification Fronts/Viscous Phase Transitions Forwards-Backwards Heat Equations.

1987
Abstract : Directional solidification in the presence of an impurity may be described by a set of impurity concentration and thermal diffusion equations coupled at a free boundary. In the limit of a small distribution coefficient, a long wavelength expansion can be used to obtain a single fourth order parabolic equation describing the deviations of the
P. Rosenau, A. Novick-Cohen
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