Results 201 to 210 of about 2,916,443 (230)
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A Mollification Method for Backward Time-Fractional Heat Equation
Acta Mathematica Vietnamica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van Duc, Nguyen +2 more
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Numerical Schemes for the Forward–Backward Heat Equation
International Journal of Computer Mathematics, 2010This 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.
exaly +3 more sources
A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FORWARD-BACKWARD HEAT EQUATION
Acta Mathematica Scientia, 1996A new numerical method with a least squares approximation based on a pseudospectral method is proposed. It is applied for the forward-backward heat equation. The existence and uniqueness of the solution is shown. Error estimates are given and the order of convergence depending on the regularity of the solution is determined.
Ye, Xingde, Jiang, Jinsheng
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A Spectral Method for an Axisymmetric Backward Heat Equation
Inverse Problems in Science and Engineering, 2009We 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
Chu-Li Fu
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Backward heat equations with locally lipschitz source
Applicable Analysis, 2014Let be in and let , be a locally Lipschitz function with respect to the variable and . In this article, we consider the following backward heat problem with a nonlinear heat source The problem is ill-posed in the sense of Hadamard. Hence a regularization is in order.
Dang Duc Trong +2 more
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The construction of solutions to the heat equation backward in time
Mathematical Methods in the Applied Sciences, 1979Abstract Solutions to the backwards heat equation are approximated by solutions of a pseudo‐heat equation. Solutions to this modified equation are constructed by means of a fundamental solution and potential theory, and it is shown that the fundamental solution can be approximated by various expansions in special functions.
D. Colton, J. Wimp, E. Meister
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Backward uniqueness for fractional heat equations
Discrete and Continuous Dynamical Systems - BzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Mao-Sheng +2 more
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An RBF-PUM finite difference scheme for forward–backward heat equation
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Garmanjani +3 more
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Backward Solutions to Neumann and Dirichlet Problems of Heat-Conduction Equation
Applied Mathematics and Computation, 2009A 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.
Fushan Li
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Iterative Methods for the Forward-Backward Heat Equation
Journal of Computational Mathematics, 2005In this paper we propose the finite difference method for the forward-backward heat equation. We use a coarse-mesh second-order central difference scheme at the middle line mesh points and derive the error estimate. Then we discuss the iterative method based on the domain decomposition for our scheme and derive the bounds for the rates of convergence ...
Xiao-Liang Cheng, Jie Sun
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