A highly accurate alternating 6-point group method for the dispersive equation

Abstract

In this paper, we construct a group of Saul'yev type asymmetric difference formulas for the dispersive equation. Based on these formulas we derive a new alternating 6-point group algorithm to solve dispersive equations with periodic boundary conditions. The algorithm has a high-order accuracy in space and an unconditional stability. The theoretical results are conformed to the numerical simulation. A comparison of this algorithm with the previous Alternating Group Explicit method is presented.

Keywords:

• dispersive equation
• finite difference
• alternating group method(AG)
• high-order accuracy
• unconditional stability

C.R.Categories :

• G.1.8

Acknowledgements

This work is supported by NSF of China(10671113).