Ahmad Golbabai - Department of Applied Mathematics , Iran University Science and Technology,P.O.Box,۱۶۸۴۴-۱۳۱۱۴,Narmak,Tehran,Iran
Omid Nikan - Department of Applied Mathematics , Iran University Science and Technology,P.O.Box,۱۶۸۴۴-۱۳۱۱۴,Narmak,Tehran,Iran
Morteza Mohammad Nezhad Kiasary - corresponding Author Department of Applied Mathematics , Iran University Science and Technology,P.O.Box,۱۶۸۴۴-۱۳۱۱۴,Narmak,Tehran,Iran

Radial basis function (RBF) interpolation methods are theoretically spectrally accurate. In this paper, we use the idea interpolation by radial basis functions to approximate the solution of the nonlinear volterra integral equations. This method is a combination of collocation method and RBFs , using zeros of the shifted Legendre polynomials as the collocation points.Comparing between the numerical results obtained from our method and Sinc collocation method confirms the good accuracy of the presented scheme.

Radial basis functions (RBFs),Legendre polynomials, Volterra integral equations