Taylor Series Method for the System of Linear Volterra Integro-differential Equations


Authors

J. Rashidinia - School of Mathematics, Iran University of Science and Technology, P. O. Box, 16846-13114, Tehran, Iran A. Tahmasebi - School of Mathematics, Iran University of Science and Technology, P. O. Box, 16846-13114, Tehran, Iran


Abstract

A method to determine the numerical solution of system of linear Volterra integro-differential equations (IDEs) is proposed. The method obtains Taylor expansion for the exact solution of system of linear Volterra IDEs at initial point \(x = 0\). In addition, we introduce a procedure to obtain an approximation for Taylor expansion of the exact solution at \(x\neq 0\). Moreover, error estimation of the proposed methods is presented. The efficiency and applicability of the presented methods is illustrated by some numerical examples.


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