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- G. H. Zheng, T. Wei
- J. Computational Applied Mathematics
- 2010

In this paper, a Cauchy problem for the time fractional advection–dispersion equation (TFADE) is investigated. Such a problem is obtained from the classical advection–dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative of order α (0 < α ≤ 1). We show that the Cauchy problem of TFADE is severely illposed and… (More)

- T. Wei, Benny Y. C. Hon, J. Cheng
- SIAM J. Control and Optimization
- 2003

- T. Wei, Benny Y. C. Hon
- Adv. Comput. Math.
- 2007

In this paper, the Cauchy problem for the Helmholtz equation is investigated. By Green's formulation, the problem can be transformed into a moment problem. Then we propose a modified Tikhonov regularization algorithm for obtaining an approximate solution to the Neumann data on the unspecified boundary. Error estimation and convergence analysis have been… (More)

- G. H. Zheng, T. Wei
- Adv. Comput. Math.
- 2012

- F. L. Yang, L. Ling, T. Wei
- J. Comput. Physics
- 2010

- Z. Q. Zhang, T. Wei
- Applied Mathematics and Computation
- 2013

- T. Wei, D. Y. Zhou
- Adv. Comput. Math.
- 2010

- G. H. Zheng, T. Wei
- Mathematics and Computers in Simulation
- 2010