SOLUSI SISTEM PERSAMAAN INTEGRAL VOLTERRA LINEAR DENGAN MENGGUNAKAN METODE MATRIKS EULER
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Date
2016-02-04
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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
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Keywords
system of linear Volterra integral equations, Euler polynomial, Taylor theorem