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 Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24403

 Title: A Group Preserving Scheme for Inverse Heat Conduction Problems Authors: C.-W. Chang;C.-S. Liu;J.-R. 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: Inverse heat conduction problem;group preserving scheme;ill-posed problem;semi-discretization Date: 2005 Issue Date: 2011-10-20T08:12:12Z Publisher: Computer Modeling in Engineering & Sciences Abstract: Abstract:In this paper, the inverse heat conduction problem governed by sideways heat equation is investigated numerically. The problem is ill-posed because the solution, if it exists, does not depend continuously on the data. To begin with, this ill-posed problem is analyzed by considering the stability of the semi-discretization numerical schemes. Then the resulting ordinary differential equations at the discretized times are numerically integrated towards the spatial direction by the group preserving scheme, and the stable range of the index$r = 1/2 \nu \Delta t$ is investigated. When the numerical results are compared with exact solutions, it is found that they are in a good agreement even under noisy data. It is also shown that the group preserving scheme is quite effective and better than other numerical solvers, including the fourth-order Runge-Kutta method. Relation: 10(1), pp.13-38 URI: http://ntour.ntou.edu.tw/handle/987654321/24403 Appears in Collections: [系統工程暨造船學系] 期刊論文

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