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Fast Compact Difference Scheme for Solving the Two-Dimensional Time-Fractional Cattaneo Equation
期刊论文
FRACTAL AND FRACTIONAL, 2022, 卷号: 6, 期号: 8
作者:
Nong, Lijuan
;
Yi, Qian
;
Cao, Jianxiong
;
Chen, An
收藏
  |  
浏览/下载:16/0
  |  
提交时间:2022/09/22
time-fractional Cattaneo equation
compact difference operator
L2-1(sigma) method
fast discrete Sine transform
sum of exponentials
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
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  |  
浏览/下载:10/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 卷号: 27, 期号: 1, 页码: 21
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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  |  
浏览/下载:20/0
  |  
提交时间:2020/06/30
convergence property
matrix splitting iteration
preconditioning
spatial fractional diffusion equation
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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  |  
浏览/下载:5/0
  |  
提交时间:2020/11/14
Gradient methods
Linear systems
Matrix algebra
Partial differential equations
Circulant preconditioner
Fractional differential equations
Krylov subspace method
Toeplitz matrices
WSGD
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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  |  
浏览/下载:11/0
  |  
提交时间:2019/11/15
Block triangular lower Toeplitz matrix
Skew-circulant preconditioner
Krylov subspace methods
Fractional differential equations
WSGD
L2-1(sigma) formula
Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source
期刊论文
Applied Mathematics Letters, 2019, 卷号: 91, 页码: 201-206
作者:
Cao, Jianxiong
;
Song, Guojie
;
Wang, Jie
;
Shi, Qihong
;
Sun, Sujing
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  |  
浏览/下载:2/0
  |  
提交时间:2020/11/14
Diffusion
Partial differential equations
Blow-up
Blow-up of solution
Bounded solution
Diffusion equations
Existence of global solution
Global solutions
Long time behavior
Nonlinear reaction
Blow-up and global solutions for a class of time fractional nonlinear reaction-diffusion equation with weakly spatial source
期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 91, 页码: 201-206
作者:
Cao, Jianxiong
;
Song, Guojie
;
Wang, Jie
;
Shi, Qihong
;
Sun, Sujing
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  |  
浏览/下载:4/0
  |  
提交时间:2019/11/15
Fractional nonlinear reaction-diffusion equation
Blow-up
Global solution
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations
期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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  |  
浏览/下载:24/0
  |  
提交时间:2019/12/13
Matrix splitting
Iteration method
Convergence property
Spatial fractional diffusion equation
ALTERNATING DIRECTION IMPLICIT SCHEMES FOR THE TWO-DIMENSIONAL TIME FRACTIONAL NONLINEAR SUPER-DIFFUSION EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 3, 页码: 297-315
作者:
Huang, Jianfei
;
Zhao, Yue
;
Arshad, Sadia
;
Li, Kuangying
;
Tang, Yifa
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  |  
浏览/下载:38/0
  |  
提交时间:2019/03/05
Time fractional super-diffusion equation
Nonlinear system
ADI schemes
Stability
Convergence
An Effective Algorithm for Delay Fractional Convection-Diffusion Wave Equation Based on Reversible Exponential Recovery Method
期刊论文
IEEE ACCESS, 2019, 卷号: 7, 页码: 5554-5563
作者:
Li, Tingyue
;
Zhang, Qifeng
;
Niazi, Wahidullah
;
Xu, Yinghong
;
Ran, Maohua
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  |  
浏览/下载:4/0
  |  
提交时间:2019/08/22
Exponential recovery
variable coefficient
semilinear
solvability
convergence
stability
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