Title: A comparison between alternating segment Crank-Nicolson and explicit-implicit schemes for the dispersive equation

Authors: Ahmad Reza Haghighi; Mohammad Shahbazi Asl

Addresses: Department of Mathematics, Urmia University of technology, P.O. Box, 57155-419, Urmia, Iran ' Department of Mathematics, Urmia University of technology, P.O. Box, 57155-419, Urmia, Iran

Abstract: In this paper, the alternating segment Crank-Nicolson (nASCN) scheme is compared to the alternating group explicit-implicit (nAGEI) scheme for the dispersive equation with periodic boundary conditions. Both schemes are unconditionally stable and have a truncation error of the fourth-order in space. The comparison between the accuracy of these two schemes is presented in the numerical experiments.

Keywords: dispersive equations; alternating segment Crank-Nicolson scheme; alternating group explicit-implicit scheme; unconditional stability; periodic boundary conditions.

DOI: 10.1504/IJCSM.2014.066429

International Journal of Computing Science and Mathematics, 2014 Vol.5 No.4, pp.405 - 417

Received: 01 Jun 2013
Accepted: 19 Jan 2014

Published online: 31 Jan 2015 *

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