Multistep numerical methods for functional differential equations

A.V. Kim and V.G. Pimenov

Mathematics and Computers in Simulation (MATCOM), 1998, vol. 45, issue 3, 377-384

Abstract: Different numerical methods are developed for solving retarded differential equations [1, 9]. Multistep numerical methods for general functional differential equations (FDE) were elaborated in [5, 10]. In contrast to those works presented in this paper, multistep numerical methods are based on the interpolation of discrete model, but not on the approximation of functionals (in the right-hand side of FDE). Basic attention is given to investigating of convergence orders of the methods.

Keywords: Time-delay systems; Numerical methods; Convergence order (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:45:y:1998:i:3:p:377-384

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