Projection Methods for the solution of Volterra Integro-Differential Equations

In this paper, we utilized the linear generalized inverse multiquadric function and the quadratic generalized multiquadric function as radial basis functions for the quadrature-based projection method in solving Volterra integro-differential equations (VIDE) of first and second orders. The selected examples are evaluated using MAPLE 17 and MATLAB Softwares and the obtained results compared with the exact solution for the linear generalized inverse multiquadric function and the quadratic generalized linear multiquadric function as radial basis functions. The quadratic generalized linear multiquadric function has the best approximation for both the first and second order VIDEs.