The Discretization of Neutral Functional Integro-Differential Equations by Collocation Methods

  • Hermann Brunner

    Memorial University of Newfoundland, St. John's, Canada

Abstract

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.

Cite this article

Hermann Brunner, The Discretization of Neutral Functional Integro-Differential Equations by Collocation Methods. Z. Anal. Anwend. 18 (1999), no. 2, pp. 393–406

DOI 10.4171/ZAA/889