Results 211 to 220 of about 2,916,443 (230)

Solution of a forward-backward heat equation

1996
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Lu, H., Wen, Z.Y.
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Continuous dependence on geometry for the backward heat equation

Mathematical Methods in the Applied Sciences, 1984
Abstract In 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 ...
Crooke, P. S., Payne, L. E.
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Optimal control problem for the backward heat equation

Siberian Mathematical Journal, 1993
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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A Weighted Least Squares Method for the Backward-Forward Heat Equation

SIAM Journal on Numerical Analysis, 1991
A weighted least squares method is given for the numerical solution of parabolic partial differential equations where the diffusion coefficient changes sign. The second-order equation is transformed into a first-order system of symmetric-positive differential equations in the sense of Friedrichs and the system is solved using least squares techniques ...
Aziz, A. K., Liu, J.-L.
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The Boundary Element Method for the Solution of the Backward Heat Conduction Equation

Journal of Computational Physics, 1995
In an earlier paper the same authors introduced the boundary element method modified with a minimal energy scheme to solve the Laplace equation with insufficient boundary data. Here this method is extended to solve the backward unsteady heat conduction problem. This problem is improperly posed, therefore neither the direct solution of the linear system
Han, H., Ingham, D. B., Yuan, Y.
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A modified integral equation method of the semilinear backward heat problem

Applied Mathematics and Computation, 2011
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Nguyen Huy Tuan, Dang Duc Trong, Pham Hoang Quan   +2 more
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Solution of a forward-backward heat equation

1994
9 p.
Lu, H., Wen, Z.-Yi.
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Regularization of 2D Backward Heat Equation Using Heatlets

Indian Journal of Industrial and Applied Mathematics, 2015
Heatlets were introduced by Shen and Strang [1999. Journal of Differential Equations, 161, pp 403–421] to solve the heat equation using wavelet expansion of the initial data. In this paper, we regularize the 2D backward heat equation and, in general, ill-posed Cauchy problems using heatlets.
null Pooja, P. Manchanda, J. Kumar
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Backward heat equation with time dependent variable coefficient

Mathematical Methods in the Applied Sciences, 2016
Backward heat equation with time dependent variable coefficient is severely ill‐posed in the sense of Hadamard, so we need regularization. In this paper, we consider Backward heat equation with time dependent variable coefficient, and by small perturbing, we obtain an approximation problem.
Hapuarachchi, Sujeewa, Xu, Yongzhi
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The Approximation of Solutions to the Backwards Heat Equation by Solutions of Pseudoparabolic Equations

1979
Abstract : It is well known that solutions of the backwards heat equation can be approximated by solutions of a pseudoparabolic equation depending on a small parameter (epsilon). The emphasis in this paper is on the mathematical problems which arise in approximating solutions to initial-boundary value problems for this perturbed equation.
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