Fibonacci collocation method for solving high-order linear fredholm integro-differential-difference equations

Abstract

A new collocation method based on the Fibonacci polynomials is introduced for the approximate solution of high order-linear Fredholm integro-differential- difference equations with the mixed conditions. The proposed method is analyzed to show the convergence of the method. Some further numerical experiments are carried out to demonstrate the method. © 2013 Ayşe Kurt et al.