A Note on the Numerical Solution of Fractional Schrodinger Differential Equations

Ashyralyev A., Hicdurmaz B.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.92-94, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1470
  • Doi Numarası: 10.1063/1.4747647
  • Basıldığı Şehir: Gümüşhane
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.92-94
  • İstanbul Üniversitesi Adresli: Evet

Özet

First and second orders of accuracy difference schemes are presented for a fractional Schrodinger differential equation which is derived from classical Schrdinger differential equation with the first order time derivative changed to a Riemann-Louville fractional derivative. Numerical experiments are carried out on a one-dimensional fractional Schrdinger differential equation.