Frontiers of Mathematics in China >
Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations∗
Received date: 21 May 2008
Accepted date: 28 Nov 2008
Published date: 05 Mar 2009
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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.
Wansheng WANG , Shoufu LI . Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations∗[J]. Frontiers of Mathematics in China, 2009 , 4(1) : 195 -216 . DOI: 10.1007/s11464-009-0021-9
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