Abstract
In this article, we study linear barycentric rational method (LBM) to solve one-order Volterra integro-differential equations. With the help of linear barycentric rational interpolation, the matrix form of Volterra integro-differential equations is obtained. Then the convergence rate of LBM for solving one-order integro-differential equation is proved. Further more, Volterra integro-differential equation systems is also solved by the linear barycentric rational method. At last, several examples are presented to valid our theoretical analysis.
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