International Journal of Mathematics and Mathematical Sciences (Jan 2013)
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.