AN OPERATIONAL MATRIX METHOD TO SOLVE LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Abstract

In this paper, it is an operational matrix method associating Chebyshev polynomials to solve linear Fredholm-Volterra integro-differential (FVDE) equations. Using Chebyshev finite series, the method reduces any problem to a system of algebraic equation including unknown Chebyshev coefficients. Comparisons with the exact solution and other numerical techniques are presented to show the efficiency of the proposed method. It is achieved by more Chebyshev terms for morebetter accuracies. Exact solutions are obtained when the solutions are themselves polynomials.