Radial basis approximation and its application to biharmonic equation

• DOI: 10.1007/s10444-008-9107-2
• Publication Date: 2008-11-14T03:59:53Z
• Authors: Xin Li
• Keywords: Biharmonic equation

Order of approximating functions and their derivatives by radial bases on arbitrarily scattered data is derived. And then radial bases are used to construct solutions of biharmonic equations that approximate potential integrals for the exact solutions with the order of approximation derived.