AN UNCONVENTIONAL ALGORITHM FOR SINGULAR INTEGRAL-EQUATIONS

[摘要] The purpose of this investigation is to extend the results recently obtained for equations of negative index to equations of index zero or one. The simple method for solving singular integral equations (SIEs) via Chebyshev quadrature is here adapted to equations possessing a solution which has unbounded endpoint behavior. Chebyshev quadrature is the standard method for equations of the first kind. The alternative method is based on using the Chebyshev zeros also for solving second-kind SIEs with variable coefficients.

[发布日期] 1993-12-31

[效力级别]  Proceedings Paper

[关键词] SINGULAR INTEGRAL EQUATIONS;CHEBYSHEV POLYNOMIALS;SINGULARITY SUBTRACTION