Beibei Zhu

Aug 12, 2024 | mdpi.com | Sicheng Wan |Yibo Wang |Beibei Zhu |Youshuang Zhang

All articles published by MDPI are made immediately available worldwide under an open access license. No special permission is required to reuse all or part of the article published by MDPI, including figures and tables. For articles published under an open access Creative Common CC BY license, any part of the article may be reused without permission provided that the original article is clearly cited. For more information, please refer to https://www.mdpi.com/openaccess.

Aug 5, 2024 | onlinelibrary.wiley.com | Beibei Zhu |Ran Gu

CONFLICT OF INTEREST STATEMENT The authors declare no potential conflict of interests. REFERENCES 1, Mathematical methods of classical mechanics, Springer, New York, 1978. 2, , and , Symplectic splitting operator methods for the time-dependent Schrodinger equation, J. Chem. Phys. 124 (2006), 234105. 3 and , Splitting methods for non-autonomous Hamiltonian equations, J. Comput. Phys. 170 (2001), 205–230.

May 31, 2023 | onlinelibrary.wiley.com | Yue Wang |Beibei Zhu |Hu Chen

For solving the two- and three-dimensional time-fractional subdiffusion equations (TFDE) whose solutions have weak singularities, the L1FEM-ADI scheme is established. The Caputo time-fractional derivative is discretized by L1 scheme on nonuniform mesh, and finite element method (FEM) is utilized in spatial direction. The high dimensional problem is transformed into one-dimensional problems by alternating direction implicit (ADI) method.