Solution of a general one-turning-point Schrödinger equation using lattice extrapolation techniques

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Abstract
In this paper a recently proposed lattice approach to the solution of boundary-layer problems is applied to the one-turning-point WKB problem. The introduction of the lattice converts the singular-differential-equation perturbation problem to a regular perturbation problem. The singular nature of the WKB problem is restored when the lattice spacing is extrapolated to zero. Accurate numerical results are obtained for several cases of interest.