A STABLE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR A FRACTIONAL SCHRODINGER DIFFERENTIAL EQUATION


Ashyralyev A., Hicdurmaz B.

APPLIED AND COMPUTATIONAL MATHEMATICS, cilt.17, ss.10-21, 2018 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 17 Konu: 1
  • Basım Tarihi: 2018
  • Dergi Adı: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Sayfa Sayısı: ss.10-21

Özet

In the present paper, we present and analyze a second order of accuracy difference scheme for solving a fractional Schrodinger differential equation with the fractional derivative in the Riemann Louville sense. A stability analysis is performed on the presented difference scheme. Numerical results confirm the expected convergence rates and illustrate the effectiveness of the method.