Inverse Sturm-Liouville problems with pseudospectral methods
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Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper a technique to obtain a first approximation for singular inverse Sturm-Liouville problems with a symmetrical potential is introduced. The singularity, as a result of unbounded domain (-infinity, infinity), is treated by considering numerically the asymptotic limit of the associated problem on a finite interval (-L, L). In spite of this treatment, the problem has still an ill-conditioned structure unlike the classical regular ones and needs regularization techniques. Direct computation of eigenvalues in iterative solution procedure is made by means of pseudospectral methods. A fairly detailed description of the numerical algorithm and its applications to specific examples are presented to illustrate the accuracy and convergence behaviour of the proposed approach.
Açıklama
Anahtar Kelimeler
31A25, 65F18, regularization method, condition number, pseudospectral method, regular and singular inverse Sturm-Liouville problems
Kaynak
International Journal Of Computer Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
92
Sayı
7
