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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41402

Title: The modified polynomial expansion method for identifying the time dependent heat source in two-dimensional heat conduction problems
Authors: Chung-Lun Kuo;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: Inverse heat source problems;Ill-posed problems;Modified polynomial expansion method;Characteristic length concept
Date: 2016-01
Issue Date: 2017-02-15T05:44:18Z
Publisher: International Journal of Heat and Mass Transfer
Abstract: Abstract:In this paper, the modified polynomial expansion method is developed to solve problems of identifying the time dependent heat source, in which an inverse problem is encountered. Aimed at this problem, the variation of variables is adopted to eliminate the unknown heat source and obtain a six-line boundary value problem. As compared with the conventional four-line boundary value problem, the six-line boundary value problem is quite hard to be dealt with. After the unknown non-homogeneous term being eliminated, the polynomial expansion method is introduced to discretize the time and space fields, respectively. Then, the distribution of temperature is expressed as a linear superposition of polynomial functions. After that, a characteristic length concept is adopted to resolve the ill-posed matrix problems arising in those conventional polynomial expansion methods. The desired heat source function can be obtained by putting the solution of the six-line boundary value problem into differential operations. Several numerical experiments with designed examples are included to validate the accuracy and effectiveness of the proposed approach.
Relation: 92,pp.658-664
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41402
Appears in Collections:[系統工程暨造船學系] 期刊論文

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