Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method

被引：126
作者：
Dehghan, Mehdi [1 ]
Ghesmati, Arezou [1 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2010年 / 34卷 / 01期
关键词：
Boundary integral equation (BIE) method; Dual reciprocity method (DRM); Second-order hyperbolic telegraph equation; Radial basis functions (RBFs); DOUBLY PERIODIC-SOLUTIONS; NUMERICAL-SOLUTION; DRBEM MODEL; APPROXIMATION FUNCTIONS; MAXIMUM PRINCIPLE; WAVE REFRACTION; SCHEME;
D O I：
10.1016/j.enganabound.2009.07.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we use a numerical method based on the boundary integral equation (BIE) and an application of the dual reciprocity method (DRM) to solve the second-order one space-dimensional hyperbolic telegraph equation. Also the time stepping scheme is employed to deal with the time derivative. In this study, we have used three different types of radial basis functions (cubic, thin plate spline and linear RBFs), to approximate functions in the dual reciprocity method (DRM). To confirm the accuracy of the new approach and to show the performance of each of the RBFs, several examples are presented. The convergence of the DRBIE method is studied numerically by comparison with the exact solutions of the problems. (C) 2009 Elsevier Ltd. All rights reserved.
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收藏
页码：51 / 59
页数：9
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