CUBIC SPLINE-PROJECTION METHOD FOR 2-DIMENSIONAL INTEGRAL-EQUATIONS OF SCATTERING-THEORY

This paper investigates a projection method with cubic B-splines for s olving two-dimensional Fredholm integral equations of the second kind that arise in scattering theory. Emphasis is placed on the relationshi p between collocation and Galerkin methods. A mesh grading procedure b ased on an equidistribution of the nodal points with respect to a meas ure that combines both the arc length and curvatures is investigated. A test of the numerical procedures is provided by solving the Faddeev integral equation for a model three-boson problem at both bound-state and zero scattering energies. (C) 1994 Academic Press, Inc.