JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, vol.6, no.2, pp.147-153, 2018 (Peer-Reviewed Journal)
Article / Article
JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS
ERIC (Education Resources Information Center)
General Coupled System of Fractional Schrodinger Equation, Riesz Fractional Derivative, Finite Difference Method, Multidimensional Differential Problem, CONSERVATIVE DIFFERENCE SCHEME, NUMERICAL-SOLUTION
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.