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Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 卷号: 46, 期号: 1, 页码: 142-166
Authors:  Wei, T(魏婷);  Zhang, Yun;  Gao, Dingqian
Favorite  |    Submit date:2022/07/25
Nesterov strategy  steepest descent method  time-fractional reaction-diffusion-wave equation  uniqueness  zeroth-order coefficient and fractional order  Numerical methods  Steepest descent method  Variational techniques  Wave equations  Diffusion wave equation  Fractional order  Fractional reactions  Reaction-diffusion waves  Steepest-descent method  Time-fractional reaction-diffusion-wave equation  Uniqueness  Variational problems  Zeroth-order coefficient and fractional order  
A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4
Authors:  Wei, T(魏婷);  Luo, Yuhua
Favorite  |    Submit date:2022/07/01
Convolution  Diffusion  Integral equations  Inverse problems  Wave equations  Boundary values  Convergence rates  Diffusion wave equation  Finite-difference algorithms  Generalized quasi-boundary value regularization method  Hilbert scale  Inverse source problem  Regularization methods  Time-fractional diffusion  Time-fractional diffusion-wave equation  time-fractional diffusion-wave equation  inverse source problem  generalized quasi-boundary value regularization method  finite difference algorithms  convergence rate  
Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 404
Authors:  Wei, T(魏婷);  Xian, Jun
Favorite  |    Submit date:2021/12/14
Diffusion  Integralequations  Inverseproblems  Waveequations  Conditionalstability  Convergenceanalysis  Diffusionwaveequation  Gradient'smethods  Identificationofzeroth  ordercoefficient  Time  fractionaldiffusion  Time  fractionaldiffusion  waveequation  Two  point  Two  pointgradientmethod  Uniquenessandconditionalstability  Time-fractional diffusion-wave equation  Identification of zeroth-order coefficient  Uniqueness and conditional stability  Two-point gradient method  Convergence analysis  Integral equations  Inverse problems  Wave equations  Conditional stability  Diffusion wave equation  Gradient's methods  Time-fractional diffusion  Two-point  
Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022
Authors:  Wei, T(魏婷);  Zhang, Yun;  Gao, Dingqian
Favorite  |    Submit date:2022/11/08
Numerical methods  Steepest descent method  Variational techniques  Wave equations  Diffusion wave equation  Fractional order  Fractional reactions  Nesterov strategy  Reaction-diffusion waves  Steepest-descent method  Time-fractional reaction-diffusion-wave equation  Uniqueness  Variational problems  Zeroth-order coefficient and fractional order  
Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 卷号: 46, 期号: 1, 页码: 142-166
Authors:  Wei, T(魏婷);  Zhang, Yun;  Gao, Dingqian
Favorite  |    Submit date:2023/07/18
Numerical methods  Steepest descent method  Variational techniques  Wave equations  Diffusion wave equation  Fractional order  Fractional reactions  Nesterov strategy  Reaction-diffusion waves  Steepest-descent method  Time-fractional reaction-diffusion-wave equation  Uniqueness  Variational problems  Zeroth-order coefficient and fractional order  
Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 卷号: 46, 期号: 1, 页码: 142-166
Authors:  Wei, T(魏婷);  Zhang, Yun;  Gao, Dingqian
Favorite  |    Submit date:2023/04/12
Numerical methods  Steepest descent method  Variational techniques  Wave equations  Diffusion wave equation  Fractional order  Fractional reactions  Nesterov strategy  Reaction-diffusion waves  Steepest-descent method  Time-fractional reaction-diffusion-wave equation  Uniqueness  Variational problems  Zeroth-order coefficient and fractional order  
Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022
Authors:  Wei, T(魏婷);  Zhang, Yun;  Gao, Dingqian
Favorite  |    Submit date:2023/01/03
Numerical methods  Steepest descent method  Variational techniques  Wave equations  Diffusion wave equation  Fractional order  Fractional reactions  Nesterov strategy  Reaction  diffusion waves  Steepest  descent method  Time  fractional reaction  diffusion  wave equation  Uniqueness  Variational problems  Zeroth  order coefficient and fractional order  
An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 429
Authors:  Zhang, ZQ(张正强);  Guo, Shimin;  Zhang, YX(张远祥)
Favorite  |    Submit date:2023/09/04
Diffusion  Inverse problems  Numerical methods  Parameterization  Wave equations  Acceleration strategies  Convergence rates  Dependent sources  Diffusion wave equation  Ill posed  Inverse source problem  Posteriori  Source terms  Time-fractional diffusion  Time-fractional diffusion-wave equation  Iterative method  Convergence rate  
Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 404
Authors:  Wei, Ting;  Xian, Jun
Favorite  |    Submit date:2023/01/03
Inverse problems  Diffusion  Integral equations  Wave equations  Conditional stability  Convergence analysis  Diffusion wave equation  Gradient's methods  Identification of zeroth-order coefficient  Time-fractional diffusion  Time-fractional diffusion-wave equation  Two-point  Two-point gradient method  Uniqueness and conditional stability  
A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4
Authors:  Wei, T(魏婷);  Luo, Yuhua
Favorite  |    Submit date:2022/11/08
Diffusion  Finite difference method  Wave equations  Fredholm integral equations  Convolution  Boundary values  Convergence rates  Diffusion wave equation  Finite-difference algorithms  Generalized quasi-boundary value regularization method  Hilbert scale  Inverse source problem  Regularization methods  Time-fractional diffusion  Time-fractional diffusion-wave equation