Approximating a Retarded-Advanced Differential Equation Using Radial Basis Functions

A publicar em Computational Science and its Applications-ICCSA2017,O. Gervasi et al. (Eds.),LNCS, Springer
DOI: 10.1007/978-3-319-62404-4 3

In last years we have got the approximation of the solution of a linear mixed type functional differential equation, considering the autonomous and non-autonomous case by collocation, least squares and finite element methods considering a polynomial basis. The present work introduces a numerical scheme using collocation and radial basis functions to solve numerically the non-linear mixed type equation with symmetric delay and advance. The results are similar using collocation,
B-splines and exponential radial functions. The preliminary results are promising, but more simulations using different basis of radial functions are needed.