On a method for obtaining approximate solutions to Sturm-Liouville problems

Abrate, Serge

doi:10.1090/S0025-5718-1995-1308445-9

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

On a method for obtaining approximate solutions to Sturm-Liouville problems
HTML articles powered by AMS MathViewer

by Serge Abrate PDF

Math. Comp. 64 (1995), 1511-1515 Request permission

Abstract:

A method presented recently to find approximate solutions to a Sturm-Liouville problem is shown to be a special case of a classical weighted residual method. The choice of approximation functions and convergence of the method are also examined.

References

Ll. G. Chambers, A quick way of obtaining an approximate solution to a Sturm-Liouville problem, Math. Comp. 62 (1994), no. 206, 577–579. MR 1212265, DOI 10.1090/S0025-5718-1994-1212265-2

Applied functional analysis and variational methods in engineering