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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
Favorite  |  View/Download:18/0  |  Submit date:2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
Authors:  Gong, Wei;  Li, Buyang;  Yang, Huanhuan
Favorite  |  View/Download:24/0  |  Submit date:2023/02/07
Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model 期刊论文
PHYSICA SCRIPTA, 2021, 卷号: 96, 期号: 12, 页码: 19
Authors:  Arshad, Sadia;  Saleem, Iram;  Defterli, Ozlem;  Tang, Yifa;  Baleanu, Dumitru
Favorite  |  View/Download:76/0  |  Submit date:2022/04/02
fractional operator with the non-singular kernel  numerical approximation  stability analysis  convergence analysis  tumor model  chaos  
Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model 期刊论文
Physica Scripta, 2021, 卷号: 96, 期号: 12
Authors:  Arshad,Sadia;  Saleem,Iram;  Defterli,Ozlem;  Tang,Yifa;  Baleanu,Dumitru
Favorite  |  View/Download:81/0  |  Submit date:2022/04/02
fractional operator with the non-singular kernel  numerical approximation  stability analysis  convergence analysis  tumor model  chaos  
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
Authors:  Zhang, Jingna;  Aleroev, Temirkhan S.;  Tang, Yifa;  Huang, Jianfei
Favorite  |  View/Download:131/0  |  Submit date:2021/06/01
Time-space fractional vibration equations  ADI scheme  stability  convergence  
Weighted integral solvers for elastic scattering by open arcs in two dimensions 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 18
Authors:  Bruno, Oscar P.;  Xu, Liwei;  Yin, Tao
Favorite  |  View/Download:83/0  |  Submit date:2021/04/26
Calderó  n relation  elasticity  open arc  second‐  kind integral solver  
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
Authors:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
Favorite  |  View/Download:111/0  |  Submit date:2021/04/26
distribution-order derivative  fractional wave equations  initial singularity  multi-term fractional derivatives  superlinear convergence  
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
Authors:  Huang, Jianfei;  Qiao, Zhi;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
Favorite  |  View/Download:98/0  |  Submit date:2021/01/14
Fractional nonlinear wave equations  Fourth-order derivative  Linearized schemes  Stability  Convergence  
Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
Authors:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
Favorite  |  View/Download:129/0  |  Submit date:2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
Authors:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
Favorite  |  View/Download:102/0  |  Submit date:2020/05/24
Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation