Spectral regularization method for a Cauchy problem of the time fractional advection–dispersion equation
✍ Scribed by G.H. Zheng; T. Wei
- Book ID
- 108075695
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 975 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
In this paper, we consider the Cauchy problem for the Helmholtz equation in a rectangle, where the Cauchy data is given for y = 0 and boundary data are for x = 0 and x = π. The solution is sought in the interval 0 < y ≤ 1. A quasi-reversibility method is applied to formulate regularized solutions wh
## Abstract The non‐characteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 ⩽ __x__ ⩽ 1, − ∞ < __t__ < ∞, __u__(0,__t__) = φ(__t__), __u__~__x__~(0, __t__) = ψ(__t__), − ∞ < __t__ < ∞ is regularizèd when approximate expressions for φ and ψ are given