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

ZHANG Qing-jie;WANG Wen-qia

doi:10.1007/s10483-008-0911-y

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 9: 1221 - 1230

DOI: https://doi.org/10.1007/s10483-008-0911-y

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

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School of Mathematics, Shandong University, Jinan 250100, P. R. China

Received date: 2007-11-20

Revised date: 2008-08-01

Online published: 2008-09-10

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Abstract

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.

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

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ZHANG Qing-jie;WANG Wen-qia . A new alternating group explicit-implicit algorithm with high accuracy for dispersive equation[J]. Applied Mathematics and Mechanics, 2008 , 29(9) : 1221 -1230 . DOI: 10.1007/s10483-008-0911-y

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