Multidimensional problems for general coupled systems of time-space fractional Schrodinger equations

HİÇDURMAZ B.

JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, cilt.6, ss.147-153, 2018

  • Cilt numarası: 6 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1166/jcsmd.2018.1155
  • Dergi Adı: JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS
  • Sayfa Sayısı: ss.147-153

Özet

In the present paper, general coupled system of nonlinear time-space fractional Schrodinger equations is considered in multi-dimensional case. Finite difference method is used to construct the difference schemes for one and multidimensional problems for general coupled system of nonlinear time-space fractional Schrodinger equations. A reformulation of Grunwald-Letnikov difference derivative is used to construct the difference schemes. Convergence and stability results are presented. Numerical experiments are carried out on problems with one and two dimensional space variables.