A collocation method for nonlinear Cauchy singular integral equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:115

Article

Junghanns, P ; Müller, K

关键词: nonlinear Cauchy singular integral equation;    collocation method;    stability;    Banach algebra technique;    Newton iteration method;   

DOI  :  10.1016/S0377-0427(99)00117-X

来源: Elsevier

【 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. (C) 2000 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free