Abstract
In this paper we introduce presents a numerical approach, based on radial basis function networks
(RBFNS), for the approximation of a function and its derivatives (scattered data interpolation), The
proposed approach here is called the indirect radial basis function network (IRBFN) to solve second
and fourth order differential equations the procedure can start with the second derivative. First, the
second order derivative is approximated by a RBFN, then the first order derivative is obtained by
integration. Finally the original function is similarly obtained, i.e. by integrating the first derivative
function. This second method is here referred to as the second indirect method or IRBFN2 likewise
fourth -grade derivative IRBFN4
(RBFNS), for the approximation of a function and its derivatives (scattered data interpolation), The
proposed approach here is called the indirect radial basis function network (IRBFN) to solve second
and fourth order differential equations the procedure can start with the second derivative. First, the
second order derivative is approximated by a RBFN, then the first order derivative is obtained by
integration. Finally the original function is similarly obtained, i.e. by integrating the first derivative
function. This second method is here referred to as the second indirect method or IRBFN2 likewise
fourth -grade derivative IRBFN4