The successive approximations method for the airfoil equation

DOI10.1016/0377-0427(88)90271-3zbMath0662.76016OpenAlexW2094700851MaRDI QIDQ1114492

S. H. Smith

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90271-3

zbMATH Keywords

convergenceuniform normJacobi polynomialsuccessive approximations methodGaussian quadrature rulesairfoil equationFredholm equations of the second kindCauchy type singular integral equations of the first kindNeumann iterations

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

Application of computer algebra to the iterative solution of singular integral equations ⋮ A note on solving Cauchy integral equations of the first kind by iterations ⋮ Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets

Cites Work

• On the numerical evaluation of derivatives of Cauchy principal value integrals
• An iterative algorithm for the numerical solution of singular integral equations
• The Two-Dimensional Oscillating Airfoil in a Wind Tunnel in Subsonic Flow
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The successive approximations method for the airfoil equation