We propose a simple approach which considerably improves the performance of the well-
known Kansa method for the solution of boundary value problems (BVPs). In the proposed …

We propose a simple approach to improve the accuracy of the Radial Basis Function
Differential Quadrature (RBF-DQ) method for the solution of elliptic boundary value …

Radial basis function (RBF) collocation methods (RBFCMs) are applied to fourth order
boundary value problems (BVPs). In particular, we consider the classical Kansa method and …

We propose a partial differential equations-based algorithm for the 3D implicit surface
reconstruction from a set of scattered cloud data. In the solution process, the method of …

We employ a radial basis function (RBF)-differential quadrature (DQ) method for the
numerical solution of elliptic boundary value problems in annular domains. With an …

Based on the recent development in the method of particular solutions, we re-exam three
approaches using different basis functions for solving nonlinear Poisson problems. We …

In this paper, we propose hybrid Chebyshev polynomial scheme (HCPS), which couples the
Chebyshev polynomial scheme and the method of fundamental solutions into a single matrix …

In this paper, a closed-form particular solution of polyharmonic splines has been obtained
for high order partial differential operators. Instead of using complex derivation, the new …

Solving fourth or higher order differential equations using localized numerical methods as
the finite element, the finite difference and the localized radial basis functions (LRBFs), show …

The traditional radial basis function collocation method (RBFCM) has poor stability when
solving two-dimensional elastic problems, and the numerical results are very sensitive to …