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A new variable-step method for the numerical integration of special second-order initial value problems and their application to the one-dimensional Schrödinger equation

Authors
Journal
Applied Mathematics Letters
0893-9659
Publisher
Elsevier
Publication Date
Volume
6
Issue
3
Identifiers
DOI: 10.1016/0893-9659(93)90037-n

Abstract

Abstract A new variable-step method is developed for the numerical integration of special second-order initial value problems. An application to the one-dimensional Schrödinger equation on the phase-shift problem, indicates that this new method is generally more accurate than other previously developed finite difference methods, especially in the case of high energies.

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