DERIVATIVE

作品数:1328被引量:1709H指数:14
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相关领域:理学更多>>
相关作者:梁宇学王超张东辉韩立杨鹰更多>>
相关机构:北京大学中南大学吉林大学沈阳药科大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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The role of velocity derivative skewness in understanding non-equilibrium turbulence被引量:1
《Chinese Physics B》2020年第11期99-105,共7页Feng Liu Le Fang Liang Shao 
Project supported by the National Natural Science Foundation of China(Grant No.11772032);the Science Foundation of North University of China(Grant No.11026829).
The turbulence governed by the Navier-Stokes equation is paramount in many physical processes.However,it has been considered as a challenging problem due to its inherent nonlinearity,non-equilibrium,and complexity.Her...
关键词:velocity derivative skewness non-equilibrium turbulence turbulence model 
Exact solutions of stochastic fractional Korteweg de–Vries equation with conformable derivatives被引量:2
《Chinese Physics B》2020年第3期62-69,共8页Hossam A.Ghany Abd-Allah Hyder M Zakarya 
the Deanship of Scientific Research at King Khalid University for funding their work through Research Group Program under grant number(G.P.1/160/40)。
We deal with the Wick-type stochastic fractional Korteweg de–Vries(KdV) equation with conformable derivatives.With the aid of the Exp-function method, white noise theory, and Hermite transform, we produce a novel set...
关键词:Korteweg de–Vries(KdV)equation conformable DERIVATIVE stochastic BROWNIAN motion Expfunction method 
Compact finite difference schemes for the backward fractional Feynman–Kac equation with fractional substantial derivative
《Chinese Physics B》2019年第10期226-236,共11页Jiahui Hu Jungang Wang Yufeng Nie Yanwei Luo 
Project supported by the National Natural Science Foundation of China(Grant No.11471262);Henan University of Technology High-level Talents Fund,China(Grant No.2018BS039)
The fractional Feynman-Kac equations describe the distributions of functionals of non-Brownian motion, or anomalous diffusion, including two types called the forward and backward fractional Feynman-Kac equations, wher...
关键词:BACKWARD FRACTIONAL Feynman-Kac EQUATION FRACTIONAL substantial DERIVATIVE compact finite difference scheme numerical inversion of LAPLACE transforms 
Exact solitary wave solutions of a nonlinear Schrdinger equation model with saturable-like nonlinearities governing modulated waves in a discrete electrical lattice
《Chinese Physics B》2018年第12期420-430,共11页Serge Bruno Yamgoue Guy Roger Deffo Eric Tala-Tebue Francois Beceau Pelap 
In this paper, we introduce and propose exact and explicit analytical solutions to a novel model of the nonlinear Schr¨odinger(NLS) equation. This model is derived as the equation governing the dynamics of modulated ...
关键词:nonlinear Schrdinger equation nonlinear time derivative terms saturable nonlinearity exact solitary solutions 
Using wavelet multi-resolution nature to accelerate the identification of fractional order system
《Chinese Physics B》2017年第5期21-29,共9页李远禄 孟霄 丁亚庆 
Project supported by the National Natural Science Foundation of China(Grant No.61271395);the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20161513)
Because of the fractional order derivatives, the identification of the fractional order system(FOS) is more complex than that of an integral order system(IOS). In order to avoid high time consumption in the system...
关键词:fractional wavelet operational torsion accelerate verify derivative decomposed integer coordinates 
New analytical exact solutions of time fractional KdV KZK equation by Kudryashov methods被引量:4
《Chinese Physics B》2016年第4期30-36,共7页S Saha Ray 
In this paper, new exact solutions of the time fractional KdV-Khokhlov-Zabolotskaya-Kuznetsov (KdV-KZK) equa- tion are obtained by the classical Kudryashov method and modified Kudryashov method respectively. For thi...
关键词:KdV-Khokhlov-Zabolotskaya-Kuznetsov equation Kudryashov method modified Kudryashovmethod fractional complex transform modified Riemann-Liouville derivative 
Stochastic stability of the derivative unscented Kalman filter被引量:7
《Chinese Physics B》2015年第7期64-73,共10页胡高歌 高社生 种永民 高兵兵 
supported by the National Natural Science Foundation of China(Grant No.61174193);the Doctorate Foundation of Northwestern Polytechnical University,China(Grant No.CX201409)
This is the second of two consecutive papers focusing on the filtering algorithm for a nonlinear stochastic discretetime system with linear system state equation. The first paper established a derivative unscented Kal...
关键词:nonlinear stochastic system stochastic process unscented Kalman filter stochastic stability 
Adaptive step-size modified fractional least mean square algorithm for chaotic time series prediction被引量:1
《Chinese Physics B》2014年第5期129-137,共9页BilalShoaib Ijaz Mansoor Qureshi Shafqatullah Ihsanulhaq 
Project supported by the Higher Education Commission of Pakistan
This paper presents an adaptive step-size modified fractional least mean square (AMFLMS) algorithm to deal with a nonlinear time series prediction. Here we incorporate adaptive gain parameters in the weight adaptati...
关键词:fractional LMS kernel LMS Reimann-Lioville derivative Mackey glass and Lorenz time series 
A modified fractional least mean square algorithm for chaotic and nonstationary time series prediction被引量:2
《Chinese Physics B》2014年第3期159-164,共6页Bilal Shoaib Ijaz Mansoor Qureshi Ihsanulhaq Shafqatullah 
Project supported by the Higher Education Commission of Pakistan
A method of modifying the architecture of fractional least mean square (FLMS) algorithm is presented to work with nonlinear time series prediction. Here we incorporate an adjustable gain parameter in the weight adap...
关键词:fractional least mean square kernel methods Reimann-Lioville derivative Mackey glass timeseries 
Approximate derivative-dependent functional variable separation for quasi-linear diffusion equations with a weak source
《Chinese Physics B》2013年第10期67-72,共6页吉飞宇 杨春晓 
Project supported by the National Natural Science Foundation of China(Grant No.10671156);the Natural Science Foundation of Shaanxi Province of China(Grant No.SJ08A05)
By using the approximate derivative-dependent functional variable separation approach, we study the quasi-linear diffusion equations with a weak source ut = (A(u)Ux)x + eB(u, Ux). A complete classification of t...
关键词:quasi-linear diffusion equation approximate derivative-dependent functional separable solution approximate generalized conditional symmetry 
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