Numerical Method for a Linear Volterra Integro-differential Equation with Cash-Karp Method
Keywords:
Volterra integro-differential (integral) equation, Cash-Karp method, Runge-Kutta Method, Truncation error, quadrature rule, fifth order.Abstract
In this paper a linear Volterra integro-differential equation is studied. Example of this question has been solved numerically using Cash-Karp method for ODE (Ordinary Differential Equation) parts and Newton-Cotes formulae (quadrature rules) for integral part. Finally, a new fifth order routine is used for the numerical solution of the linear Volterra integro-differential equation.
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