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Numerical Schemes for Time-Space Fractional Vibration Equations
期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 卷号: 13, 期号: 4, 页码: 806-826
作者:
Zhang, Jingna
;
Aleroev, Temirkhan S.
;
Tang, Yifa
;
Huang, Jianfei
收藏
  |  
浏览/下载:168/0
  |  
提交时间:2021/06/01
Time-space fractional vibration equations
ADI scheme
stability
convergence
A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 63-92
作者:
Fan, Huijun
;
Zhao, Yanmin
;
Wang, Fenling
;
Shi, Yanhua
;
Tang, Yifa
收藏
  |  
浏览/下载:168/0
  |  
提交时间:2021/01/14
Nonconforming mixed FEM
multi-term time-fractional mixed diffusion and diffusion-wave equations
L1 time-stepping method
Crank-Nicolson scheme
convergence and superconvergence
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:141/0
  |  
提交时间:2021/04/26
distribution-order derivative
fractional wave equations
initial singularity
multi-term fractional derivatives
superlinear convergence
AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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  |  
浏览/下载:86/0
  |  
提交时间:2022/04/02
time-fractional Allen--Cahn equation
asymptotic preserving
energy stability
adaptive time stepping
max-imum principle
Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 页码: 19
作者:
Huang, Jianfei
;
Qiao, Zhi
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:136/0
  |  
提交时间:2021/01/14
Fractional nonlinear wave equations
Fourth-order derivative
Linearized schemes
Stability
Convergence
An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 26
作者:
Wang, Lin
;
Yu, Haijun
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浏览/下载:169/0
  |  
提交时间:2020/06/30
Cahn-Hilliard gradient flow
Unconditionally stable
Stabilized semi-implicit scheme
Diffusive Crank-Nicolson scheme
Error analysis
Adaptive time stepping
High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
作者:
Wang, Fenling
;
Zhao, Yanmin
;
Shi, Zhengguang
;
Shi, Yanhua
;
Tang, Yifa
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  |  
浏览/下载:158/0
  |  
提交时间:2020/01/10
Time fractional wave equation
anisotropic nonconforming quasi-Wilson finite element
Crank-Nicolson scheme
stability
superclose and superconvergence
Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:
Zhao, Yanmin
;
Wang, Fenling
;
Hu, Xiaohan
;
Shi, Zhengguang
;
Tang, Yifa
收藏
  |  
浏览/下载:179/0
  |  
提交时间:2020/01/10
Multi-term time-fractional mixed diffusion-wave equations
Linear triangle finite element
L1 time-stepping method
Crank-Nicolson scheme
Unconditional stability
Convergence and superconvergence
Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 15
作者:
Shi, Y. H.
;
Zhao, Y. M.
;
Wang, F. L.
;
Tang, Y. F.
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  |  
浏览/下载:151/0
  |  
提交时间:2020/01/10
Multi-term time fractional diffusion-wave equations
linear triangular finite element
Crank-Nicolson approximation
stability
superclose and superconvergence
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
作者:
Fang, Zhiwei
;
Li, Jichun
;
Tang, Tao
;
Zhou, Tao
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  |  
浏览/下载:159/0
  |  
提交时间:2020/01/10
Maxwell's equations
Finite element method
Random inputs
Polynomial chaos methods
Stochastic Galerkin