A four-order alternating segment Crank-Nicolson scheme for the dispersive equation
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. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.
dispersive equation unconditional stability finite difference alternating segment crank-nicolson method (ascn) high accuracy parallel computation