English  |  正體中文  |  简体中文  |  Items with full text/Total items : 26987/38787
Visitors : 2218080      Online Users : 32
RC Version 4.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Adv. Search
LoginUploadHelpAboutAdminister

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
collocation
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

Files in This Item:

File Description SizeFormat
index.html0KbHTML1View/Open


All items in NTOUR are protected by copyright, with all rights reserved.

 


著作權政策宣告: 本網站之內容為國立臺灣海洋大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,請合理使用本網站之內容,以尊重著作權人之權益。
網站維護: 海大圖資處 圖書系統組
DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback