English  |  正體中文  |  简体中文  |  Items with full text/Total items : 26988/38789
Visitors : 2325173      Online Users : 54
RC Version 4.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Adv. Search

Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50660

Title: The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations
Authors: Chia-Cheng Tsai
Tai-Wen Hsu
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Particular solution
Method of fundamental solutions
Axisymmetric polyharmonic operator
Axisymmetric poly-Helmholtz operator
Chebyshev polynomial
Meshless methods
Date: 2009-12
Issue Date: 2018-10-19T08:20:15Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract: In this paper we derive analytical particular solutions for the axisymmetric polyharmonic and poly-Helmholtz partial differential operators using Chebyshev polynomials as basis functions. We further extend the proposed approach to the particular solutions of the product of Helmholtz-type operators. By using this formulation, we can approximate the particular solution when the forcing term of the differential equation is approximated by a truncated series of Chebyshev polynomials. These formulas were further implemented to solve inhomogeneous partial differential equations (PDEs) in which the homogeneous solutions were obtained by the method of fundamental solutions (MFS). Several numerical experiments were carried out to validate our newly derived particular solutions. Due to the exponential convergence of Chebyshev interpolation and the MFS, our numerical results are extremely accurate.
Relation: 33(12) pp.1396-1402
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50660
Appears in Collections:[河海工程學系] 期刊論文

Files in This Item:

File Description SizeFormat

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