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Applied Mathematics and Mechanics (English Edition) ›› 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

ZHANG Qing-jie, WANG Wen-qia   

  1. School of Mathematics, Shandong University, Jinan 250100, P. R. China
  • Received:2007-11-20 Revised:2008-08-01 Online:2008-09-10 Published:2008-09-10
  • Contact: WANG Wen-qia

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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

2010 MSC Number: 

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