Sigmoidal-Nystr枚m for solving an aerofoil equation

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• 作者：D. Rostamy ; ^{rostamyd@hotmail.com} ; M. Jabbari
• 关键词：Aerodynamics ; Aerofoil ; Integral equations ; Weakly singular equation ; Sigmoidal transformations ; Numerical analysis ; Cauchy integral equation
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 May, 2012
• 卷：218
• 期：17
• 页码：8492-8502
• 文件大小：416 K

摘要

This paper considers Nystr枚m type methods for solving a generalized aerofoil equation with weakly singular kernel. Based on sigmoidal transformations and Nystr枚m method, we obtain new algorithms for solving this equation. Convergence analysis for this methods are given. Finally, numerical examples complete this work.