A Numerical Method for Solving of the Nonlinear Volterra Integral Equations

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.

کلیدواژه ها:

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