SOLUSI SISTEM PERSAMAAN INTEGRAL VOLTERRA LINEAR DENGAN MENGGUNAKAN METODE MATRIKS EULER

Abstract

This article discusses the solution of system of linear Volterra integral equations in the form of series in Euler polynomials with certain coefficient. The process begins by transforming the system of linear Volterra integral equations to form a matrix equation. Then using some transformation, a system of equations is obtained, whose solution is the coefficients of Euler polynomial series. By substituting the obtained coefficients to the series solution, solutions of linear systems of Volterra integral equations are obtained Furthermore the computational test shows that the solution obtained by the propose method is almost equal to the exact known solution