A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces
نویسندگان
چکیده
منابع مشابه
A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
We present a new high-order, local meshfree method for numerically solving reaction diffusion equations on smooth surfaces of codimension 1 embedded in Rd. The novelty of the method is in the approximation of the Laplace–Beltrami operator for a given surface using Hermite radial basis function (RBF) interpolation over local node sets on the surface. This leads to compact (or implicit) RBF gener...
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2014
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-014-9914-1