A perspective on the numerical treatment of Volterra equations
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
Solution of a system of Volterra integral equations of the first kind by Adomian method
Applied Mathematics and Computation
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Approximate solution of a class of linear integro-differential equations by Taylor expansion method
International Journal of Computer Mathematics
A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations
Mathematical and Computer Modelling: An International Journal
Modified homotopy perturbation method for solving system of linear Fredholm integral equations
Mathematical and Computer Modelling: An International Journal
Computers & Mathematics with Applications
An efficient algorithm for solving multi-pantograph equation systems
Computers & Mathematics with Applications
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In this paper, a numerical method is introduced to solve a system of linear Volterra integral equations (VIEs). By using the Bessel polynomials and the collocation points, this method transforms the system of linear Volterra integral equations into the matrix equation. The matrix equation corresponds to a system of linear equations with the unknown Bessel coefficients. This method gives an analytic solution when the exact solutions are polynomials. Numerical examples are included to demonstrate the validity and applicability of the technique and comparisons are made with existing results. All of the numerical computations have been performed on computer using a program written in MATLAB v7.6.0 (R2008a).