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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, 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, 2023, 卷号: 46, 期号: 1, 页码: 142-166
Authors:  Wei, T(魏婷);  Zhang, Yun;  Gao, Dingqian
Favorite  |    Submit date:2023/05/25
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  
Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2022
Authors:  Sun, Liangliang;  Yan, Xiongbin;  Liao, Kaifang
Favorite  |    Submit date:2022/11/09
Determination of fractional order  inverse source problem  fractional diffusion equation  uniqueness  modified non-stationary iterative Tikhonov regularization method  
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:2022/07/25
Nesterov strategy  steepest descent method  time-fractional reaction-diffusion-wave equation  uniqueness  zeroth-order coefficient and fractional order  
Tikhonov正则化方法求解时空分数阶扩散方程源项识别问题 学位论文
理学学士, 兰州: 兰州大学, 2022
Authors:  李锦程
Favorite  |    Submit date:2023/03/13
分数阶扩散方程  源项识别问题  Tikhonov正则化  收敛性估计  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
Chaos, Solitons and Fractals, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, ZQ(张正强);  Wei, T(魏婷)
Favorite  |    Submit date:2022/07/01
Inverse problems  Iterative methods  Nonlinear equations  Wave equations  Ill-posedness  Iterative Tikhonov regularization  Non-stationary iterative tikhonov regularization method  Nonlinear inverse problems  Nonstationary  Potential coefficient  Source terms  Stability and uniqueness  Tikhonov regularization method  Time-dependent potentials  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, ZQ(张正强);  Wei, T(魏婷)
Favorite  |    Submit date:2022/07/01
Nonlinear inverse problem  Stability and uniqueness  Ill-posedness  Non-stationary iterative Tikhonov regularization method  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
Chaos, Solitons and Fractals, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, ZQ(张正强);  Wei, T(魏婷)
Favorite  |    Submit date:2022/11/08
Nonlinear equations  Wave equations  Fixed point arithmetic  Iterative methods  Ill-posedness  Iterative Tikhonov regularization  Non-stationary iterative tikhonov regularization method  Nonlinear inverse problems  Nonstationary  Potential coefficient  Source terms  Stability and uniqueness  Tikhonov regularization method  Time-dependent potentials  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
Chaos, Solitons and Fractals, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, Zheng-qiang;  Wei, Ting
Favorite  |    Submit date:2023/01/03
Nonlinear equations  Wave equations  Fixed point arithmetic  Iterative methods  Ill-posedness  Iterative Tikhonov regularization  Non-stationary iterative tikhonov regularization method  Nonlinear inverse problems  Nonstationary  Potential coefficient  Source terms  Stability and uniqueness  Tikhonov regularization method  Time-dependent potentials