Development and Analysis of a Novel Six-Step Numerical Technique For Solving Higher Order Fredholm integro-Differential Equations

This paper focuses on the derivation of a new linear multi-step technique with step number k = 6 through collocation and interpolation techniques using Morgan-Voyce polynomials as interpolating function to obtain the techniques. The basic properties of the derived techniques were examined and it was found to be order seven, consistent, Zero stable and convergent.