Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution Original Research Article

We study the application of the so-called mixed interpolation methods derived by De Meyer, Vanthournout and Vanden Berghe (1990) in the numerical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solutions is examined and a convergence analysis of the numerical method is given. Numerical results are included for two examples.