The ASEI Scheme for Solving the Dispersive Equation with Diffusion

Shaohong Zhu
Department of Mathematics
Tianjin Normal University
Tianjin, 300074, P. R. China

Jennifer J. Zhao
Department of Mathematics and Statistics
University of Michigan-Dearborn
Dearborn, MI 48374, USA
Jun Zhang
Laboratory for High Performance Scientific Computing and Computer Simulation
Department of Computer Science
University of Kentucky
Lexington, KY 40506-0046, USA


We employ the ASEI (Alternating Segment Explicit-Implicit) scheme to solve the dispersive equation with diffusion. The ASEI finite difference scheme is shown to be unconditionally stable and possesses rich parallelism. Numerical simulations on a model problem are also performed and results are reported.

Key words: dispersive equation with diffusion, parallel difference scheme, ASEI scheme

Mathematics Subject Classification: 65N06, 65N12

Download the compressed postscript file, or the PDF file asei.pdf.gz.
Technical Report 351-02, Department of Computer Science, University of Kentucky, Lexington, KY, 2002.

The research of Shaohong Zhu was supported by the grant of Tianjin Education Committee. Project Number: 990608 The research of Jennifer J. Zhao was supported in part by the U.S. National Science Foundation under grant CCR-0117602. work of Jun Zhang was supported in part by the U.S. National Science Foundation under the grant CCR-9902022, CCR-9988165, CCR-0092532, and ACI-0202934, in part by the U.S. Department of Energy under grant DE-FG02-02ER45961, in part by the Japanese Research Organization for Information Science & Technology, and in part by the University of Kentucky Research Committee.