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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. 相似文献
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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. 相似文献
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