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

Liping Wen and Yuexin Yu

Applied Mathematics and Computation, 2016, vol. 282, issue C, 84-96

Abstract: 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.

Keywords: Neutral delay integro-differential equations; Runge–Kutta methods; Stability; Convergence; Error estimation; Numerical integration (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:282:y:2016:i:c:p:84-96

DOI: 10.1016/j.amc.2016.02.001

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