An iterative solution to the second order eigenvalue equation with periodic boundary conditions

✍ Scribed by E.R. Boyko; B.J. Gilbert; S.H. Puon

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 284 KB
• Volume: 12
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1016/s0021-9991(73)80008-7

✦ Synopsis

A procedure for determining the ground state eigenvalue and eigenfunction of the Sturm-Liouville equation with periodic boundary conditions has been developed. This procedure is based on Picard's method, which, through the use of Chebyshev polynomials, provides for an efficient computational scheme.