Numerical solution for IVP in Volterra type linear integrodifferential equations system. (English) Zbl 1291.65380

Summary: A method is proposed to determine the numerical solution of system of linear Volterra integrodifferential equations (IDEs) by using Bezier curves. The Bezier curves are chosen as piecewise polynomials of degree \(n\), and Bezier curves are determined on \([t_0,t_f]\) by \(n+1\) control points. The efficiency and applicability of the presented method are illustrated by some numerical examples.


65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
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