Journal
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume 34, Issue 1, Pages 51-59Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2009.07.002
Keywords
Boundary integral equation (BIE) method; Dual reciprocity method (DRM); Second-order hyperbolic telegraph equation; Radial basis functions (RBFs)
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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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