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A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 8, 期号: 4, 页码: 764-781
Authors:  Arshad, Sadia;  Baleanu, Dumitru;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
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Fractional diffusion equation  Riesz derivative  high-order approximation  stability  convergence  
Analysis on the stability of numerical schemes for a class of stochastic partial differential systems 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 2, 页码: 316-328
Authors:  Cong, Xin-rong;  Li, Long-suo
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Stochastic partial differential equations  compact finite difference method  random noise  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
Authors:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
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Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 311, 页码: 130-147
Authors:  Zhang, Wensheng;  Jiang, Jiangjun
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3D  Acoustic wave equation  LOD  Fourth-order accuracy  Stability  Compact  
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
Authors:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai;  Kong, Linghua
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Coupled stochastic nonlinear Schrodinger equations  compact scheme  stochastic multi-symplectic conservation law  energy evolution law  charge conservation law  soliton evolution  soliton interaction  
A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2016, 卷号: 38, 期号: 2, 页码: 433-441
Authors:  Rizwan, Muhammad;  Shah, Abdullah;  Yuan, Li
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Two-phase flow  Phase field model  Artificial compressibility  Dual-time stepping  Central compact scheme  
Fourth-Order Compact Difference Schemes for 1D Nonlinear Kuramoto-Tsuzuki Equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 31, 期号: 6, 页码: 2080-2109
Authors:  Hu, Xiuling;  Chen, Shanzhen;  Chang, Qianshun
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compact difference scheme  convergence  Kuramoto-Tsuzuki equation  Neumann boundary conditions  priori estimates  
Prefactored optimized compact finite-difference schemes for second spatial derivatives 期刊论文
GEOPHYSICS, 2011, 卷号: 76, 期号: 5, 页码: WB87-WB95
Authors:  Zhou, Hongbo;  Zhang, Guanquan
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Constructing effective one-body dynamics with numerical energy flux for intermediate-mass-ratio inspirals 期刊论文
PHYSICAL REVIEW D, 2011, 卷号: 84, 期号: 4, 页码: 8
Authors:  Han, Wen-Biao;  Cao, Zhoujian
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New numerical methods for the coupled nonlinear Schrodinger equations 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 卷号: 26, 期号: 2, 页码: 205-218
Authors:  Xu, Qiu-bin;  Chang, Qian-shun
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Coupled nonlinear Schrodinger equation(CNLS)  split step Runge-Kutta method  compact scheme  split step spectral method  difference scheme