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

Abrate, Serge

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

Mathematics of Computation

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