A second-order time-discretization scheme for a system of nonlinear Schrodinger equations

作者：Sasaki Takiko^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2014, 90(1): 15-20.

DOI：10.3792/pjaa.90.15

• Time-discretization
• finite difference method
• nonlinear Schrodinger equation
• error analysis

We study a linear semidiscrete-in-time finite difference method for the system of nonlinear Schrodinger equations that is a model of the interaction of non-relativistic particles with different masses. The main aim is to show that the scheme is second-order convergent.

• 出版日期2014-1