Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations |
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| Authors: | Wansheng Wang Shoufu Li |
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| Affiliation: | (1) School of Mathematics and Computational Science, Changsha University of Science & Technology, Changsha, 410004, China;(2) School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China |
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| 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. |
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| Keywords: | Neutral differential equation Volterra delay-integro-differential equation Runge-Kutta method convergence |
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