Abstract
A direct approach to the solution of singular integral equations with Cauchy principal value integrals is to replace the integrals by a quadrature formula, and to satisfy the resulting equation at a discrete set of collocation points. For the canonical equation, i.e. the integral equation of the first kind with only the principal part, interpolatory polynomials are explicitly constructed from the discrete values of the solution obtained from Gauss-Chebyshev and Lobatto-Chebyshev formulae, and are shown to converge to the analytic solution under fairly reasonable conditions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
