Title
Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations
Abstract
In this article, a high-order compact alternating direction implicit method combined with a Richardson extrapolation technique is developed to solve a class of two-dimensional nonlinear delay hyperbolic differential equations. The solvability, stability and convergence of the method are analysed simultaneously in L-2- and H-1-norms by the discrete energy method. Numerical experiments are provided to demonstrate the accuracy and efficiency of the schemes.
Year
DOI
Venue
2014
10.1080/00207160.2013.810216
International Journal of Computer Mathematics
Keywords
Field
DocType
solvability,richardson extrapolation,delay hyperbolic differential equations,convergence,compact alternating direction implicit scheme,stability
Alternating direction implicit method,Convergence (routing),Differential equation,Mathematical optimization,Richardson extrapolation,Nonlinear system,Mathematical analysis,Energy method,Mathematics
Journal
Volume
Issue
ISSN
91
5
0020-7160
Citations 
PageRank 
References 
1
0.40
17
Authors
3
Name
Order
Citations
PageRank
Qifeng Zhang1202.04
Chengjian Zhang218529.75
Dingwen Deng310.40