Asymptotic iteration method for eigenvalue problems

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Ciftci H., Hall R., Saad N.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.36, no.47, pp.11807-11816, 2003 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 36 Issue: 47
• Publication Date: 2003
• Doi Number: 10.1088/0305-4470/36/47/008
• Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.11807-11816
• Gazi University Affiliated: Yes

Abstract

An asymptotic iteration method for solving second-order homogeneous linear differential equations of the form y" = lambda(0)(x)y' + s(0)(x)y is introduced, where lambda(0)(x) not equal 0 and s(0)(x) are C-infinity functions. Applications to Schrodinger-type problems, including some with highly singular potentials, are presented.