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|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|
|Issue Date: ||2017-04-19T08:37:43Z
|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.|
|Appears in Collections:||[系統工程暨造船學系] 期刊論文|
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