摘要
The conventional time discrete schemes seldom consider adaptive time step. Therefore some physical quantity for time variable exits numerical oscillation. The motivation in this paper is to provide a time discrete scheme which matches adaptive time step. The typical exponential method, diamond difference and modified time discrete scheme, second-order time evolution scheme are researched for adaptive time step. Some numerical results show that time differential curves (particle current especially) are very smooth for second-order time evolution scheme associated the exponential method.