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SLCPM12 — A program for solving regular Sturm—Liouville problems

✍ Scribed by L.Gr. Ixaru; H. De Meyer; G. Vanden Berghe

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
885 KB
Volume
118
Category
Article
ISSN
0010-4655

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✦ Synopsis

The code SLCPM12 first converts the original Sturm-Liouville equation into an equation of the Schrtidinger 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 Schr6dinger equation is CPM{12, 10} developed by Ixaru, De Meyer and Vanden Berghe, CP Methods for the Schr6dinger 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. (~) 1999 Elsevier Science B,V.

📜 SIMILAR VOLUMES

Eigenvalues of Regular Sturm–Liouville P
Eigenvalues of Regular Sturm–Liouville Problems
✍ Q. Kong; A. Zettl 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 630 KB

The eigenvalues of Sturm Liouville (SL) problems depend not only continuously but smoothly on the problem. An expression for the derivative of an eigenvalue with respect to a given parameter: an endpoint, a boundary condition, a coefficient or the weight function, is found.