色散方程的一类新的高精度交替分组显隐算法

对于具有周期性边界条件的色散方程,提出了一种高精度的交替分组显隐格式新解法(nAGEI)．它不但无条件稳定,而且同已有的ASEI和AGE等交替方法比较,还具有精度高、收敛快的特点,数值试验表明新方法关于空间步长具有四阶收敛速度．     

A new alternating group explicit-implicit algorithm with high accuracy for dispersive equation

In this paper, a new alternating group explicit-implicit （nAGEI） scheme for dispersive equations with a periodic boundary condition is derived. This new unconditionally stable scheme has a fourth-order truncation error in space and a convergence ratio faster than some known alternating methods such as ASEI and AGE. Comparison in accuracy with the AGEI and AGE methods is presented in the numerical experiment.