Vol.33, No.3, 2013, pp.213-228, doi:10.3970/cmc.2013.033.213
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ARTICLE
Domain Type Kernel-Based Meshless Methods for Solving Wave Equations
  • L.H. Kuo1, M.H. Gu2, D.L. Young3, C.Y. Lin3
Department of Mathematics, University of Southern Mississippi, MS 39406, U.S.A
National Center for Research on Earthquake Engineering, Taiwan
Department of Civil Engineering, National Taiwan University, Taiwan
Abstract
Coupled with the Houbolt method, a third order finite difference time marching scheme, the method of approximate particular solutions (MAPS) has been applied to solve wave equations. Radial basis function has played an important role in the solution process of the MAPS. To show the effectiveness of the MAPS, we compare the results with the well known Kansa's method, timemarching method of fundamental solutions (TMMFS), and traditional finite element methods. To validate the effectiveness and easiness of the MAPS, four numerical examples which including regular, smooth irregular, and non-smooth domains are given.
Keywords
the method of fundamental solutions, radial basis functions, meshless methods, the method of particular solutions, Houbolt method.
Cite This Article
L. . Kuo, M. . Gu, D. . Young and C. . Lin, "Domain type kernel-based meshless methods for solving wave equations," Computers, Materials & Continua, vol. 33, no.3, pp. 213–228, 2013.
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