WIT Press


Kansa Rbf Method For Nonlinear Problems



Price

Free (open access)

Paper DOI

10.2495/CMEM-V6-N6-1000-1007

Volume

Volume 6 (2018), Issue 6

Pages

7

Page Range

1000 - 1007

Author(s)

M. A. JANKOWSKA, A. KARAGEORGHIS & C. S. CHEN

Abstract

We apply the Kansa–radial basis function (RBF) collocation method to two– dimensional nonlinear boundary value problems. The system of nonlinear equations resulting from the Kansa–RBF discretization is solved by directly applying a standard nonlinear solver. In a natural way, the value of the shape parameter in the RBFs employed in the approximation is included in the unknowns to be determined. The numerical results of some examples are presented and analysed.

Keywords

collocation, Kansa method, radial basis functions