Integral Equation Method for the Continuous Spectrum Radial Schrödinger Equation

A new approach to the numerical solution of boundary value problems for differential equations, which originated in recent papers by Greengard and Rokhlin, is improved and adapted to the numerical solution of the radial Schrodinger equation. The approach is based on the conversion of the differential equation into an integral equation together with the application of a spectral type Clenshaw?Curtis quadrature method. Through numerical examples, the integral equation method is shown to be superior to finite difference methods.

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