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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52238

Title: A Novel Spacetime Collocation Meshless Method for Solving Two-dimensional Backward Heat Conduction Problems
Authors: Chih-Yu Liu
Cheng-Yu Ku
Jing-En Xiao
Weichung Yeih
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Spacetime
meshless method
backward heat conduction problem
basis functions
Date: 2019-01
Issue Date: 2019-06-13T08:13:05Z
Publisher: CMES: Computer Modeling in Engineering & Sciences
Abstract: Abstract: In this article, a meshless method using the spacetime collocation for solving the two-dimensional backward heat conduction problem (BHCP) is proposed. The spacetime collocation meshless method (SCMM) is to derive the general solutions as the basis functions for the two-dimensional transient heat equation using the separation of variables. Numerical solutions of the heat conduction problem are expressed as a series using the addition theorem. Because the basis functions are the general solutions of the governing equation, the boundary points may be collocated on the spacetime boundary of the domain. The proposed method is verified by conducting several heat conduction problems. We also carry out numerical applications to compare the SCMM with other meshless methods. The results show that the SCMM is accurate and efficient. Furthermore, it is found that the recovered boundary data on inaccessible boundary can be obtained with high accuracy even though the over specified data are provided only at a 1/6 portion of the spacetime boundary.
Relation: 118(1) pp.229-252
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52238
Appears in Collections:[河海工程學系] 期刊論文

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