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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/46957

Title: A New Shooting Method for Quasi-Boundary Regularization of Backward Heat Conduction Problems
Authors: Jiang-RenChang;Chein-ShanLiu;Chih-WenChang
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Backward heat conduction problem;Lie-group shooting method;Strongly ill-posed problem;Quasi-boundary regularization;Two-point boundary value problem;Group preserving scheme
Date: 2007
Issue Date: 2018-06-15T06:43:04Z
Publisher: International Journal of Heat and Mass Transfer
Abstract: Abstract:A quasi-boundary regularization leads to a two-point boundary value problem of the backward heat conduction 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 shooting method 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 we can search for the missing initial conditions through a minimum discrepancy of the targets in terms of the weighting factor . 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 shooting method is stable to recover the initial temperature very well.
Relation: 50(11) pp.2325-2332
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/46957
Appears in Collections:[系統工程暨造船學系] 期刊論文

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