Fredholm integral equation method for the integro-differential Schrdinger equation
A new method based on the ClenshawCurtis quadrature for the numerical solution of the integro-differential Schrdinger equation is investigated. The method shows that it converges quickly and the truncation errors decrease faster than any power of the inverse number of the Chebyshev support points. Discretization technique is presented in detail. Accompanying C++ C + + code for the Fredholm type method is available upon request.
fredholm integral equation integro-differential schrdinger equation gauss-type quadrature