منابع مشابه
Wavelet and Fourier Methods for Solving the Sideways Heat Equation
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The sideways Heat equation (SHE) is a model of the problem of determining the temperature on the surface of a body from the interior measurements. Mathematically it can be formulated as a noncharacteristic Cauchy problem for a parabolic partial differential equation. This problem is severely ill-posed: the solution does not depend continuously on the data. We use a preconditioned Generalized Mi...
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The sideways heat equation is a one dimensional model of a problem, where one wants to determine the temperature on the surface of a body using interior measurements. More precisely, we consider a heat conduction problem, where temperature and heat–flux data are available along the line x=1 and the solution is sought in the interval 0≤x <1. The problem is ill–posed in the sense that the solutio...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1995
ISSN: 0377-0427
DOI: 10.1016/0377-0427(95)00073-9