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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41404

Title: Recovering A Heat Source and Initial Value by a Lie-Group Differential Algebraic Equations Method
Authors: Chein-Shan Liu;Chung-Lun Kuo;Jiang-Ren Chang
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Date: 2014-12
Issue Date: 2017-02-15T05:48:03Z
Publisher: An International Journal of Computation and Methodology
Abstract: Abstract:We consider an inverse problem of a nonlinear heat conduction equation for recovering unknown space-dependent heat source and initial condition under Cauchy-type boundary conditions, which is known as a sideways heat equation. With the aid of two extra measurements of temperature and heat flux which are being polluted by noisy disturbances, we can develop a Lie-group differential algebraic equations (LGDAE) method to solve the resulting differential algebraic equations, and to quickly recover the unknown heat source and initial condition simultaneously. Also, we provide a simple LGDAE method, without needing extra measurement of heat flux, to recover the above two unknown functions. The estimated results are quite promising and robust enough against large random noise.
Relation: 67(3),pp.231-254
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41404
Appears in Collections:[系統工程暨造船學系] 期刊論文

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