A collocation method for nonlinear Cauchy singular integral equations
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摘要
The application of a collocation method with respect to the Chebyshev nodes of second kind together with a Newton iteration to a class of nonlinear Cauchy singular integral equations is discussed. The investigation of the convergence of the Newton method is based on the stability of the respective collocation method applied to linear Cauchy singular integral equations, which is proved by using Banach algebra techniques. Numerical results are presented.
论文关键词:45G05,65R20,45E05,45L05,45L10,Nonlinear Cauchy singular integral equation,Collocation method,Stability,Banach algebra technique,Newton iteration method
论文评审过程:Received 31 August 1998, Revised 14 February 1999, Available online 14 February 2000.
论文官网地址:https://doi.org/10.1016/S0377-0427(99)00117-X