On the attainable order of collocation methods for pantograph integro-differential equations
type: Item
instance of: scholarly article
title: On the attainable order of collocation methods for pantograph integro-differential equations
zbMATH Open document ID: 1023.65146
DOI: 10.1016/S0377-0427(02)00716-1
author: Yoshiaki Muroya
author: Emiko Ishiwata
author: H. Brunner
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-19T00:00:00Z
review text: The pantograph integro-differential equation, which appears within nonlinear dynamics, e.g. collection of current by the pantograph of an electric locomotive, can be solved numerically by Runge-Kutta methods. As an extension and generalization of several known results in the literature the authors all consider the title problem. This requires a very long and detailed investigation. Only one numerical example illustrates the findings concerning the order.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 1912278
zbMATH Keywords: attainable order
zbMATH Keywords: integro-differential equation
zbMATH Keywords: proportional delay
zbMATH Keywords: collocation method
zbMATH Keywords: pantograph
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: numerical example
reviewed by: Søren Christiansen
MaRDI profile type: Publication
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full work available at URL: s0377-0427(02)00716-1
OpenAlex ID: W2142338126
description: scientific article; zbMATH DE number 1912278