The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature …

M Dehghan, V Mohammadi - Engineering Analysis with Boundary …, 2015 - Elsevier
The present paper is devoted to the numerical solution of the Cahn–Hilliard (CH) equation in
one, two and three-dimensions. We will apply two different meshless methods based on
radial basis functions (RBFs). The first method is globally radial basis functions (GRBFs) and
the second method is based on radial basis functions differential quadrature (RBFs-DQ)
idea. In RBFs-DQ, the derivative value of function with respect to a point is directly
approximated by a linear combination of all functional values in the global domain. The main …
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