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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24412

Title: A New Shooting Method for Quasi-Boundary Regularization of Backward Heat Conduction Problem
Authors: Jiang-Ren Chang;Chein-Shan Liu;Chih-Wen Chang
Contributors: NTOU:Department of Systems Engineering and Naval Architecture
國立臺灣海洋大學:系統工程暨造船學系
Keywords: Backwardheatconductionproblem;Lie-group shootingmethod;Strongly ill-posed problem;Quasi-boundaryregularization;Two-point boundary value problem;Group preserving scheme
Date: 2007-06
Issue Date: 2011-10-20T08:12:14Z
Publisher: International Journal of Heat and Mass Transfer
Abstract: Abstract:Aquasi-boundaryregularization leads to a two-point boundary value problem of the backwardheatconduction equation. The ill-posed problem is analyzed by using the semi-discretization numerical schemes. Then the resulting ordinary differential equations in the discretized space are numerically integrated towards the time direction by the Lie-group shootingmethod to find the unknown initial conditions. The key point is based on the erection of a one-step Lie group element G(T) and the formation of a generalized mid-point Lie group element G(r). Then, by imposing G(T)=G(r) we can search for the missing initial conditions through a minimum discrepancy of the targets in terms of the weighting factor r∈(0,1). Several numerical examples were worked out to persuade that this novel approach has good efficiency and accuracy. Although the final temperature is almost undetectable and/or is disturbed by large noise, the Lie group shootingmethod is stable to recover the initial temperature very well.
Relation: 50(11-12), pp.2325-2332
URI: http://ntour.ntou.edu.tw/handle/987654321/24412
Appears in Collections:[系統工程暨造船學系] 期刊論文

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