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, Turkey, 18 - 21 October 2012, vol.1470, pp.92-94, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 1470
  • Doi Number: 10.1063/1.4747647
  • City: Gümüşhane
  • Country: Turkey
  • Page Numbers: pp.92-94
  • Istanbul University Affiliated: Yes

Abstract

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.