Abstract

A new Volterra type integral equation method for the numerical solution of the single channel radial Schrödinger equation is investigated. The method, carried out in configuration space, is based on the conversion of differential equations into a system of Volterra type integral equations together with the application of a spectral type Clenshaw-Curtis quadrature. Through numerical examples, the Volterra type integral equation method is shown to be more efficient and more accurate than the integral equation method based on the Fredholm formulation [1] and better than finite difference methods. Accompanying C ++ code for the Volterra type method is available upon request.

Full Text
Paper version not known

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 call

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.