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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41410

Title: A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Heat Conduction Problems
Authors: Chih-Wen Chang;Chein-Shan Liu;Jiang-Ren Chang
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Backward heat conduction problem;Ill-posed problem;Fredholm integral equation;Regularized solution;Fourier series
Date: 2010
Issue Date: 2017-02-15T06:15:52Z
Publisher: Tech Science Press
Abstract: Abstract:In this article, we propose a semi-analytical method to tackle the twodimensional
backward heat conduction problem (BHCP) by using a quasi-boundary
idea. First, the Fourier series expansion technique is employed to calculate the
temperature field u(x, y,t) at any time t < T. Second, we consider a direct regularization
by adding an extra term αu(x, y, 0) to reach a second-kind Fredholm
integral equation for u(x, y, 0). The termwise separable property of the kernel function
permits us to obtain a closed-form regularized solution. Besides, a strategy to
choose the regularization parameter is suggested. When several numerical examples
were tested, we find that the proposed scheme is robust and applicable to the
two-dimensional BHCP.
Relation: 15(1)45-66
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41410
Appears in Collections:[系統工程暨造船學系] 期刊論文

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