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

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.