Spectral integration and two-point boundary value problems
SIAM Journal on Numerical Analysis
Integral equation method for the continuous spectrum radial Schrödinger equation
Journal of Computational Physics
Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels
Mathematics of Computation
| Hi-index | 0.09 |
A new Volterra type integral equation method for the numerical solution of the single channel radial Schrodinger 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.