Research Abstract
We propose a nodal discontinuous Galerkin method for solving the nonlinear Riesz space fractional Schrödinger equation and the strongly coupled nonlinear Riesz space fractional Schrödinger equations. These problems have been expressed as a system of low order dif- ferential/integral equations. Moreover, we prove, for both problems, L 2 stability and opti- mal order of convergence O (h N+1 ) , where h is space step size and N is polynomial degree. Finally, the performed numerical experiments confirm the optimal order of convergence
Research Department
Research Journal
Communications in Nonlinear Science and Numerical Simulation
Research Member
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 54
Research Website
NULL
Research Year
2017
Research Pages
pp. 428 – 452