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- W2012197722 abstract "This paper considers the boundary-value inverse heat conduction problem with steady boundary. To solve this problem, different approaches based on the Laplace and Fourier transforms are proposed. Application of the Laplace transform makes it possible to obtain an operator equation describing the explicit dependence of the desired boundary-value function on the initial data at the other boundary. This approach to solving the problem is used for the first time. The method based on the direct and inverse Fourier transforms with respect to the time variable provides stable solutions. The estimation of error of these solutions is the best with respect to the order. The range of application of each of the proposed methods and the stability of the solutions obtained by these methods was evaluated by a computational experiment." @default.
- W2012197722 created "2016-06-24" @default.
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- W2012197722 date "2013-08-20" @default.
- W2012197722 modified "2023-09-27" @default.
- W2012197722 title "Numerical methods for solving a boundary-value inverse heat conduction problem" @default.
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- W2012197722 doi "https://doi.org/10.1080/17415977.2013.830614" @default.
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