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• Identifying the Order and a Space Source Term in a Time Fractional Diffusion-Wave Equation

  Ting Wei, Jianming Xu, Xi Yue

  2025-10-23

  4526 134 Pages:168-203

• The Quasi-Reversibility Regularization for Source Inversion of a Linear Kuramoto-Sivashinsky Equation

  Bin Hu, Xingyu Wang, Zewen Wang, Wen Zhang

  2025-11-10

  7650 138 Pages:413-426

• A High Order Well-Balanced Finite Volume WENO Scheme for a Blood Flow Model in Arteries

  Zhonghua Yao, Gang Li & Jinmei Gao

  2021-07-02

  37961 5059 Pages:852-866 Open-access

• Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis

  Chenguang Duan, Yuling Jiao, Jerry Zhijian Yang, Pingwen Zhang

  2024-06-13

  29635 2079 Pages:460-489

• A Generalized Quasi-Boundary Value Method for an Inverse Source Problem in a Distributed Order Time-Fractional Diffusion Equation

  Wenjie Wu, Ting Wei

  2025-06-18

  7047 574 Pages:835-866

• An Inverse Source Non-Local Problem for a Mixed Type Equation with a Caputo Fractional Differential Operator

  E. Karimov, N. Al-Salti & S. Kerbal

  2018-03-19

  35880 3020 Pages:417-438

• Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation

  Zhousheng Ruan, Jerry Zhijian Yang & Xiliang Lu

  2018-02-09

  35844 3261 Pages:273-300

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for the Gas Dynamic Equations under Gravitational Fields

  Zhen Gao & Guanghui Hu

  2021-07-02

  40927 3579 Pages:697-713

• Solving the Inverse Source Problem of the Fractional Poisson Equation by MC-fPINNs

  Rui Sheng, Peiying Wu, Jerry Zhijian Yang, Cheng Yuan

  2025-06-06

  5436 520 Pages:565-590

• The Identification of the Time-Dependent Source Term in Time-Fractional Diffusion-Wave Equations

  Kai Fang Liao, Yu Shan Li & Ting Wei

  2019-03-26

  41446 3142 Pages:330-354

• A Posteriori Error Estimator for a Weak Galerkin Finite Element Solution of the Stokes Problem

  Xiaobo Zheng & Xiaoping Xie

  2018-03-19

  45282 3303 Pages:508-529