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SLCPM12 - A program for solving regular Sturm-Liouville problems
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DOI：10.1016/S0010-4655(98)00181-7.png)
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摘要
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The code SLCPM12 first converts the original Sturm-Liouville equation into an equation of the Schrodinger form and then it solves the latter by means of a suited highly accurate method. The conversion is done by using Liouville's transformation and the numerical method for solving the Schrodinger equation is CPM{12, 10} developed by Ixaru, De Meyer and Vanden Berghe, CP Methods for the Schrodinger Equation revisited, J. Comput. Appl. Math. (1998). The new code is by far faster and more accurate than other existing codes, e.g. SLEDGE, SLEIGN and SL02F. (C) 1999 Elsevier Science B.V.
Keyword:
Sturm-Liouville problem
Schrodinger equation
CP method
eigenvalue problem
Liouville's transformation
eigenfunction
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