Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1999-06-30
The Discretization of Neutral Functional Integro-Differential Equations by Collocation MethodsHermann Brunner (1) Memorial University of Newfoundland, St. John's, Canada
We study the approximate solution of certain neutral functional integro- differentialequations describing the aeroelastic motions of certain airfoils, and of related Volterra equations with a delay argument. The focus of the paper is on questions concerning the (uniform) con-vergence and local superconvergence properties of discretization methods based on collocation techniques for equations with smooth kernels.
Keywords: Neutral functional integro-differentialequations, Volterra integral equations with delay, collocation methods
Brunner Hermann: The Discretization of Neutral Functional Integro-Differential Equations by Collocation Methods. Z. Anal. Anwend. 18 (1999), 393-406. doi: 10.4171/ZAA/889