Singular inverse Sturm-Liouville problems with Hermite pseudospectral methods

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Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Heidelberg

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

A numerical approximation to recover certain symmetric potentials in the singular inverse Sturm-Liouville problems over (-infinity,infinity) is presented. A Hermite pseudospectral method is employed to cope with the corresponding direct problem on the real line, which is encountered in the iterative procedure proposed for the inverse problem. The usual but unwelcome ill-posed structure of the resulting numerical algorithm has been treated to some extent by the help of a flexible optimization parameter and regularization techniques. The construction of some specific potentials are illustrated to emphasize the effectiveness of the present scheme.

Açıklama

Anahtar Kelimeler

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Kaynak

European Physical Journal Plus

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

136

Sayı

10

Künye