New conservative difference schemes for a coupled nonlinear Schrödinger system
T Wang, B Guo, L Zhang - Applied Mathematics and Computation, 2010 - Elsevier
T Wang, B Guo, L Zhang
Applied Mathematics and Computation, 2010•ElsevierIn this paper, two conservative difference schemes for solving a coupled nonlinear
Schrödinger (CNLS) system are numerically analyzed. Firstly, a nonlinear implicit two-level
finite difference scheme for CNLS system is studied, then a linear three-level difference
scheme for CNLS system is presented. An induction argument and the discrete energy
method are used to prove the second-order convergence and unconditional stability of the
linear scheme. Numerical examples show the efficiency of the new scheme.
Schrödinger (CNLS) system are numerically analyzed. Firstly, a nonlinear implicit two-level
finite difference scheme for CNLS system is studied, then a linear three-level difference
scheme for CNLS system is presented. An induction argument and the discrete energy
method are used to prove the second-order convergence and unconditional stability of the
linear scheme. Numerical examples show the efficiency of the new scheme.
In this paper, two conservative difference schemes for solving a coupled nonlinear Schrödinger (CNLS) system are numerically analyzed. Firstly, a nonlinear implicit two-level finite difference scheme for CNLS system is studied, then a linear three-level difference scheme for CNLS system is presented. An induction argument and the discrete energy method are used to prove the second-order convergence and unconditional stability of the linear scheme. Numerical examples show the efficiency of the new scheme.
Elsevier