Jennifer J. Zhao
Department of Mathematics and Statistics
University of Michigan-Dearborn
Dearborn, MI 48374, USA
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.
Mathematics Subject Classification: 65N06, 65N12
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.