Abstract
In this paper, we present a Taylor-series expansion method for a class of Fredholm singular integro-differential equation with Cauchy kernel. This method uses the truncated Taylor-series polynomial of the unknown function and transforms the integro-differential equation into an nth order linear ordinary differential equation with variable coefficients. By Galerkin method we use the orthogonal Legendre polynomials as a basis for finding the approximate solution of nth order differential equation. By the property of odd or even function we reduce the singularity of the integrals to the one point. Some numerical examples are also given to illustrate the efficiency and accuracy of the method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.