A method for the numerical resolution of Abel-type integral equations of the first kind

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摘要

A numerical method to solve Abel-type integral equations of first kind is given. In this paper we suggest the research of a numerical solution for Abel-type integral equations of the first kind, by using a collocation method employing an interpolatory product-quadrature formula with a trigonometric polynomial of the first order. Some results of numerical examples are reported.

论文关键词:Abel integral equations,product quadrature rules,trigonometric interpolation,convergence

论文评审过程:Received 1 October 1987, Revised 13 April 1988, Available online 22 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(88)90003-9