Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations^?

Abstract

In this paper, we focus on the error behavior of Runge-Kutta methods for nonlinear neutral Volterra delay-integro-differential equations (NVDIDEs) with constant delay. The convergence properties of the Runge- Kutta methods with two classes of quadrature technique, compound quadrature rule and Pouzet type quadrature technique, are investigated.

Keywords

Neutral differential equation / Volterra delay-integro-differential equation / Runge-Kutta method / convergence

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