A four-order alternating segment Crank-Nicolson scheme for the dispersive equation

Authors:
Qingjie Zhang;Wenqia Wang
Affiliations:
Department of Mathematics, Shandong University, Jinan, Shandong 250100, PR China;Department of Mathematics, Shandong University, Jinan, Shandong 250100, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

In this paper, a new alternating segment Crank-Nicolson scheme for the dispersive equation with a periodic boundary condition is derived. The scheme has a four-order truncation error in space and unconditional stability. Its theoretical results are conformed to the numerical simulation. A comparison of the accuracy of this method with the prior ASEI and AGE methods is also included.