Zhendong Luo

Prof. Dr. Zhendong Luo

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Research Focus & Metrics

Academic Career Length

22Years (2005-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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3 January 2019 in Advances in Difference Equations
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Journal Article
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YZYanjie Zhou
Yanjie Zhou
ZLZhendong Luo
Zhendong Luo
In this paper, by means of a proper orthogonal decomposition (POD) we mainly reduce the order of the classical Crank–Nicolson finite difference (CCNFD) model for the fractional-order parabolic-type sine-Gordon equations (FOPTSGEs). Toward this end, we will first review the CCNFD model for FOPTSGEs and the theoretical results (such as existence, stabilization, and convergence) of the CCNFD solutions. Then we establish an optimized Crank–Nicolson finite difference extrapolating (OCNFDE) model, including very few unknowns but holding the fully second-order accuracy for FOPTSGEs via POD. Next, by a matrix analysis we will discuss the existence, stabilization, and convergence of the OCNFDE solutions. Finally, we will use a numerical example to validate the validity of theoretical conclusions. Moreover, we show that the OCNFDE model is very valid for settling FOPTSGEs.

1 July 2009 in Journal of Computational and Applied Mathematics
Verified
Journal Article
Closed access
ZLZhendong Luo
Zhendong Luo
XYXiaozhong Yang
Xiaozhong Yang
YZYanjie Zhou
Yanjie Zhou

1 March 2011 in International Journal for Numerical Methods in Engineering
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Journal Article
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ZLZhendong Luo
Zhendong Luo
JDJuan Du
Juan Du
ZXZhenghui Xie
Zhenghui Xie
YGYan Guo
Yan Guo

15 March 2009 in Science China Mathematics
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Journal Article
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ZLZhendong Luo
Zhendong Luo
JCJing Chen
Jing Chen
PSPing Sun
Ping Sun
XYXiaoZhong Yang
XiaoZhong Yang

1 January 2012 in Journal of Mathematical Analysis and Applications
Verified
Journal Article
Closed access
ZLZhendong Luo
Zhendong Luo
HLHong Li
Hong Li
YZYanjie Zhou
Yanjie Zhou
XHXiaoming Huang
Xiaoming Huang

1 March 2019 in Journal of Mathematical Analysis and Applications
Verified
Journal Article
Closed access
ZLZhendong Luo
Zhendong Luo
FTFei Teng
Fei Teng
HXHong Xia
Hong Xia