Operational Matrices of Lucas Polynomials for Solving Linear Fredholm Integral Equations

Abstract

In this work, we studied the matrix collocation method using Lucas polynomials to solve the Fredholm integral equations. The purpose of this work is to show the effectiveness of the method presented and their advantages. Then, we made a comparison between the results of this method and the exact solution of the equation.The results of lucas matrix collocation method are closer to the exact solution.