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A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
作者:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
收藏  |  浏览/下载：188/0  |  提交时间：2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
Averaging principle for one dimensional stochastic Burgers equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 10, 页码: 4749-4797
作者:  Dong, Zhao;  Sun, Xiaobin;  Xiao, Hui;  Zhai, Jianliang
收藏  |  浏览/下载：453/0  |  提交时间：2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
A new coupled sub-equations expansion method and novel complexiton solutions of (2+1)-dimensional Burgers equation 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 186, 期号: 1, 页码: 632-637
作者:  Wang, Qi;  Song, Lina;  Zhang, Hongqing
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
coupled sub-equations method  complexiton solution  (2+1)-dimensional Burgers equation  
One-dimensional stochastic Burgers equation driven by Levy processes 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 卷号: 243, 期号: 2, 页码: 631-678
作者:  Dong, Z.;  Xu, T. G.
收藏  |  浏览/下载：165/0  |  提交时间：2018/07/30
Burgers equation  Levy process  Q-Wiener process  strong solution  weak solution  mild solution  invariant measure  
On preconditioned iterative methods for Burgers equations 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 卷号: 29, 期号: 1, 页码: 415-439
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Burgers equation  Sinc-Galerkin discretization  Toeplitz-like matrices  preconditioners  GMRES method  
Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 182, 期号: 2, 页码: 1048-1055
作者:  Wang, Qi
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
fractional KdV-Burgers equation  adomian decomposition method  fractional calculus  
Symmetry reductions of two-dimensional variable coefficient Burgers equation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 43, 期号: 5, 页码: 861-866
作者:  Zhang, XL;  Li, B
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
variable coefficient Burgers equation  symmetry reduction  
Lienard equation and exact solutions for some soliton-producing nonlinear equations 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 卷号: 41, 期号: 6, 页码: 849-858
作者:  Zhang, WG;  Chang, QS;  Zhang, QR
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
solitary wave  Lienard equation  compound KdV equation  compound KdV-Burgers equation  generalized Boussinesq equation  generalized KP equation  Ginzburg-Landau equation  
Auto-Backlund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order 期刊论文
CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 卷号: 54, 期号: 2, 页码: 167-176
作者:  Li, B;  Chen, Y;  Zhang, HQ
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Backlund transformation  homogenous balance method  generalized Fithugh-Nagumo equation  generalized Burgers-Fisher equation  generalized Burgers-Huxley equation  solitons  symbolic computation  
Viscosity method of a non-homogeneous Burgers equation 期刊论文
ACTA MATHEMATICA SCIENTIA, 2003, 卷号: 23, 期号: 4, 页码: 567-576
作者:  Ding, XQ;  Yi, D
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Burgers equation  hopf equation  nonhomogeneous equation