Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 2, pp. 393 - 406 (1999)
The Discretization of Neutral Functional Integro-Differential Equations by Collocation Methods
H. BrunnerMemorial University of Newfoundland, Dept. Math. & Stat., St. John's, Newfoundland, Canada A1C 5S7; e-mail: email@example.com
Abstract: We study the approximate solution of certain neutral functional integro-differential equations 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) convergence and local superconvergence properties of discretization methods based on collocation techniques for equations with smooth kernels.
Keywords: neutral functional integro-differential equations, Volterra integral equations with delay, collocation methods
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