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

作　　者：张青洁 王文洽 

机构地区：[1]School of Mathematics,Shandong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第9期1221-1230,共10页应用数学和力学（英文版）

基　　金：National Natural Science Foundation of China (No.10671113)

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 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.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.

关 键 词：Dispersive equation finite difference alternating group explicit-implicitmethod （nAGEI） high accuracy unconditional stability parallel computation. 

分 类 号：O241.82[理学—计算数学]