This paper presents a new radial basis collocation method to obtain the approximate solution and approximate derivative of the solution for pantograph Volterra integro-differential equations. The method is based on an explicit interpolation formula of Gaussian radial basis functions. The proposed technique provides a simple, efficiant and stable algorithm which yields accurate results. Numerical experiments are included and the results are compared with analytical solution and with those of standard radial basis collocation method and spectral method to confirm the accuracy and efficiency of the new scheme.
Mathematics Subject Classification: 47A55; 39B52; 34K20; 39B82.
Keywords: Radial basis function; shape parameter; meshless method.