A comparison between alternating segment Crank-Nicolson and explicit-implicit schemes for the dispersive equation. (1st January 2014)

• Record Type: Journal Article
• Authors: Haghighi, Ahmad Reza; Shahbazi Asl, Mohammad
• Is Part Of: International journal of computing science and mathematics. Volume 5:Number 4(2014)
• Page Start: 405
• Page End: 417
• Publication Date: 2014-01-01
• Subjects: dispersive equation -- alternating segment Crank-Nicolson scheme -- alternating group explicit-implicit scheme -- unconditional stability; Mathematics -- Periodicals; Computer science -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.285
• DOI: 10.1504/IJCSM.2014.066429
• Languages: English
• ISSNs: 1752-5055

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.