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Dual-phase-lag thermoelastic diffusion analysis of a size-dependent microplate based on modified fractional-order heat conduction model
期刊论文
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2022
作者:
Tian, Lingchen
;
Peng, Wei
;
He, Tianhu
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/09/22
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:11/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories
期刊论文
WAVES IN RANDOM AND COMPLEX MEDIA, 2021
作者:
Peng, Wei
;
He, Tianhu
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  |  
浏览/下载:3/0
  |  
提交时间:2022/03/01
Fractional-order derivative
memory-dependent derivative
time-delay factor
kernel function
generalized thermoelastic diffusion theory
variable material properties
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 卷号: 42, 期号: 11, 页码: 4054-4060
作者:
Yang, Xiao-Jun
;
Feng, Yi-Ying
;
Cattani, Carlo
;
Inc, Mustafa
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  |  
浏览/下载:11/0
  |  
提交时间:2019/12/11
analytical solution
anomalous diffusion equations
decay exponential
kernel
general derivatives
Laplace transform
A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 卷号: 38, 期号: 1
作者:
Du, Ning
;
Sun, Hai-Wei
;
Wang, Hong
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  |  
浏览/下载:12/0
  |  
提交时间:2019/12/11
Anomalous diffusion
Finite difference method
Space-fractional
diffusion equation
Circulant preconditioner
Penalization
An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2018
作者:
Liang, Xin
;
Gao, Feng
;
Zhou, Chun-Bo
;
Wang, Zhen
;
Yang, Xiao-Jun
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  |  
浏览/下载:10/0
  |  
提交时间:2019/12/11
anomalous diffusion
general fractional operator
analytic solution
Laplace transform
L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusion equations
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 卷号: 75, 期号: 5, 页码: 1515-1530
作者:
Zheng, Rumeng
;
Jiang, Xiaoyun
;
Zhang, Hui
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  |  
浏览/下载:5/0
  |  
提交时间:2019/12/11
Two-dimensional time-fractional nonlinear equations
Caputo derivative
L1 Fourier spectral methods
Stability and convergence
FFT2
A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 74, 期号: 2, 页码: 1009-1033
作者:
Zhao, Meng
;
Wang, Hong
;
Cheng, Aijie
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/11
Anomalous diffusion
Finite difference method
Fractional derivative
boundary condition
Space-fractional diffusion equation
Stability and
convergence analysis
Maximum-minimum principle
Toeplitz matrix
An enriched finite element method to fractional advection-diffusion equation
期刊论文
COMPUTATIONAL MECHANICS, 2017
Luan, Shengzhi
;
Lian, Yanping
;
Ying, Yuping
;
Tang, Shaoqiang
;
Wagner, Gregory J.
;
Liu, Wing Kam
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  |  
浏览/下载:8/0
  |  
提交时间:2017/12/03
Anomalous diffusion
Fractional advection-diffusion equation
Fractional calculus
Petrov-Galerkin formulation
Improved efficient difference method for the modified anomalous sub-diffusion equation with a nonlinear source term (EI收录)
期刊论文
International Journal of Computer Mathematics, 2017, 卷号: 94, 页码: 821-840
作者:
Li, Yunfei[1]
;
Wang, Dongling[2]
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  |  
浏览/下载:6/0
  |  
提交时间:2019/04/24
Convergence of numerical methods
Diffusion
Nonlinear equations
Partial differential equations
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