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Symmetric boundary knot method
W. Chen
The boundary knot method (BKM) is a recent boundary-type radial basis function (RBF) collocation scheme for general PDEs. Like the method of fundamental solution (MFS), the RBF is…
Distance function wavelets - Part III: "Exotic" transforms and series
W. Chen
Part III of the reports consists of various unconventional distance function wavelets (DFW). The dimension and the order of partial differential equation (PDE) are first used as a…
High-order fundamental and general solutions of convection-diffusion equation and their applications with boundary particle method
W. Chen
In this study, we presented the high-order fundamental solutions and general solutions of convection-diffusion equation. To demonstrate their efficacy, we applied the high-order ge…
Distance function wavelets - Part II: Extended results and conjectures
W. Chen
Report II is concerned with the extended results of distance function wavelets (DFW). The fractional DFW transforms are first addressed relating to the fractal geometry and fractio…