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

作者：Zhang Qing jie; Wang Wen qia

来源：Applied Mathematics and Mechanics, 2008, 29(9): 1221-1230.

DOI：10.1007/s10483-008-0911-y

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

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.

• 出版日期2008-9
• 单位山东大学