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The dicretization of neutral functional integro-differential equations by collocation methods. (English) Zbl 0951.65149

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 is studied. The focus of this paper is on questions concerning the (uniform) convergence and local superconvergence properties of discretization methods based on collocation techniques for equations with smooth kernels.

MSC:

65R20 Numerical methods for integral equations
76G25 General aerodynamics and subsonic flows
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
45J05 Integro-ordinary differential equations
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References:

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