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Numerical solution of linear Volterra integral equations system of the second kind. (English) Zbl 1148.65101
Summary: There are several numerical approaches for solving systems of linear Volterra integral equations of the second kind. We present a method for numerical solution of a system of linear Volterra integral equations based on the power series method, the major advantage of which is being derivative-free. Also, this method reproduces the analytical solution when the exact solution is a polynomial. The numerical results prove that the presented method is very effective and simple. The software used for the numerical calculations in this study was MATLAB$^{\circledR}7.4$.

65R20Integral equations (numerical methods)
45F05Systems of nonsingular linear integral equations
Full Text: DOI
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[10] Rabbani, M.; Maleknejad, K.; Aghazadeh, N.: Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method. Appl. math. Comput. 187, 1143-1146 (2007) · Zbl 1114.65371