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.
- numerical solution
- Volterra integro-differential equations
- first and second order
- mixed interpolation