Convergence of Runge–Kutta methods for neutral delay integro-differential equations
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摘要
The present paper is concerned with the convergence of numerical methods to solve initial value problems of neutral delay integro-differential equations (NDIDEs). The error estimation of Runge–Kutta methods for a class of nonlinear systems of NDIDEs are derived. Some numerical experiments are given which confirm the theoretical results.
论文关键词：Neutral delay integro-differential equations,Runge–Kutta methods,Stability,Convergence,Error estimation,Numerical integration
论文评审过程：Received 14 August 2015, Revised 13 January 2016, Accepted 1 February 2016, Available online 24 February 2016, Version of Record 24 February 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.02.001
