WIT Press


Radial Basis Functions As Approximate Particular Solutions: Review Of Recent Progress

Price

Free (open access)

Paper DOI

10.2495/BE990511

Volume

25

Pages

11

Published

1999

Size

1,028 kb

Author(s)

P.A. Ramachandran & K. Balakrishnan

Abstract

Solution to Poisson type of differential equations can be achieved by find- ing an approximate particular solution to the forcing term followed by a boundary element method or more simply by using a boundary collocation method. The approximate particular solution is often found by using radial basis functions approximations to the forcing function. The advantage of radial basis functions is they involve a single independent variable regardless of the dimension of the problem. They prove particularly attractive when the domain cannot be expressed as product domains of lower dimensions. This paper provides a review of some of the recent progress in this field (in connection with the solution of Poisson type of differential equations

Keywords