Numerical Solution of High-Order Linear Fredholm Integro-Differential Equations by Lucas Collocation Method

In this paper, a useful matrix approach for high-order linear Fredholm integro-differential equations with initial boundary conditions expressed as Lucas polynomials is proposed. Using equationwhich equivalent to set of algebraic the method transforms equation. When compared other methods that have been proposed in literature, numerical results from suggested technique reveal it effective and promising. And also, error estimation scheme was derived. These were exact solutions tested problems.