Singular inverse Sturm-Liouville problems with Hermite pseudospectral methods

Altundag H., TAŞELİ H.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.136, sa.10, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 136 Sayı: 10
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1140/epjp/s13360-021-02000-y
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.