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

被引：0

作者：

张青洁 ^{[1
]}

王文洽 ^{[1
]}

机构：

[1] School of Mathematics,Shandong University

来源：

Applied Mathematics and Mechanics(English Edition) | 2008年 / 09期

基金：

中国国家自然科学基金;

关键词：

Dispersive equation; finite difference; alternating group explicit-implicit method(nAGEI); high accuracy; unconditional stability; parallel computation;

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

摘要：

In this paper, a new alternating group explicit-implicit (nAGEI) scheme for dispersive equations with a periodic boundary condition is derived. This new uncondi- tionally 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.

引用

页码：1221 / 1230

页数：10

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