Quadrature methods for integro-differential equations of Prandtl’s type in weighted spaces of continuous functions
作者：
Highlights：
• Integro-differential equations of Prandtl’s type in weighted uniform norms.
• A collocation-quadrature method based on Lagrange projection at Jacobi zeros.
• Study of stability, convergence and conditioning of the final linear systems.
• Error estimates in weighted Zygmund norms.
• Numerical experiments for Prandtl’s equation for two different wing-shapes.
摘要
•Integro-differential equations of Prandtl’s type in weighted uniform norms.•A collocation-quadrature method based on Lagrange projection at Jacobi zeros.•Study of stability, convergence and conditioning of the final linear systems.•Error estimates in weighted Zygmund norms.•Numerical experiments for Prandtl’s equation for two different wing-shapes.
论文关键词：Hypersingular integral equation,Lagrange interpolation,Quadrature method,Prandtl’s integral equation
论文评审过程：Received 14 April 2020, Revised 23 September 2020, Accepted 3 October 2020, Available online 23 November 2020, Version of Record 23 November 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125721
