2003/07/28 by W. Chen, Wen Chen, Chen, W.
Computer Science · Engineering · #Computational Engineering #FOS: Computer and information sciences #Finance #G1.3 #G1.8 #Geotechnical Engineering and Underground Structures #Mathematical Software (cs.MS) #Metal Forming Simulation Techniques #Numerical methods in engineering #and Science (cs.CE) #cs.CE #cs.MS
paper · pdf · doi:10.48550/arxiv.cs/0307061
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arxiv created 2003/07/28 · openalex publication_date 2003/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The boundary knot method (BKM) [1] is a meshless boundary-type radial basis function (RBF) collocation scheme, where the nonsingular general solution is used instead of fundamental solution to evaluate the homogeneous solution, while the dual reciprocity method (DRM) is employed to approximation of particular solution. Despite the fact that there are not nonsingular RBF general solutions available for Laplace and biharmonic problems, this study shows that the method can be successfully applied to these problems. The high-order general and fundamental solutions of Burger and Winkler equations are also first presented here.