Title | ||
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Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations |
Abstract | ||
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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 |
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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 Zhang | 1 | 20 | 2.04 |
Chengjian Zhang | 2 | 185 | 29.75 |
Dingwen Deng | 3 | 1 | 0.40 |