Document Type
Article
Publication Date
6-4-2008
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
A boundary meshless method has been developed to solve the heat conduction equations through the use of a newly established two-stage approximation scheme and a trigonometric series expansion scheme to approximate the particular solution and fundamental solution, respectively. As a result, no fundamental solution is required and the closed form of approximate particular solution is easy to obtain. The effectiveness of the proposed computational scheme is demonstrated by several examples in 2D and 31). We also compare our proposed method with the finite-difference method and the other meshless method showed in Sarler and Vertnik (Comput. Math. Appl. 2006; 51:1269-1282). Excellent numerical results have been observed. Copyright (C) 2007 John Wiley & Sons, Ltd.
Publication Title
International Journal for Numerical Methods in Engineering
Volume
74
Issue
10
First Page
1621
Last Page
1644
Recommended Citation
Reutskiy, S. Y.,
Chen, C.,
Tian, H. Y.
(2008). A Boundary Meshless Method Using Chebyshev Interpolation and Trigonometric Basis Function for Solving Heat Conduction Problems. International Journal for Numerical Methods in Engineering, 74(10), 1621-1644.
Available at: https://aquila.usm.edu/fac_pubs/1513
Comments
This is the peer reviewed version of the following article: "A Boundary Meshless Method Using Chebyshev Interpolation and Trigonometric Basis Function for Solving Heat Conduction Problems," which has been published in final form at https://doi.org/10.1002/nme.2230. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.