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

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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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Authors and Affiliations

  1. School of Mathematics and Computational Science, Changsha University of Science & Technology, Changsha, 410004, China

    Wansheng Wang

  2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China

    Shoufu Li

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  1. Wansheng Wang
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  2. Shoufu Li
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Correspondence to Wansheng Wang.

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Wang, W., Li, S. Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations. Front. Math. China 4, 195–216 (2009). https://doi.org/10.1007/s11464-009-0021-9

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  • DOI: https://doi.org/10.1007/s11464-009-0021-9

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