2016•Computational methods for differential equationsOpen access

Superconvergence analysis of multistep collocation method for delay functional integral equations

Parviz Darania

Abstract

In this paper, we will present a review of the multistep collocation method for Delay Volterra Integral Equations (DVIEs) from [1] and then, we study the superconvergence analysis of the multistep collocation method for DVIEs. Some numerical examples are given to confirm our theoretical results.

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Key concepts: Superconvergence, Collocation (remote sensing), Collocation method, Mathematics, Volterra integral equation, Orthogonal collocation, Linear multistep method, Integral equation