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Zbl 1189.65288
Zheng, Yunying; Li, Changpin; Zhao, Zhengang
A note on the finite element method for the space-fractional advection diffusion equation. (English)
[J] Comput. Math. Appl. 59, No. 5, 1718-1726 (2010). ISSN 0898-1221

Summary: A note on the finite element method for the space-fractional advection diffusion equation with non-homogeneous initial-boundary condition is given, where the fractional derivative is in the sense of Caputo. The error estimate is derived, and the numerical results presented support the theoretical results.
MSC 2000:
*65N30 Finite numerical methods (BVP of PDE)
26A33 Fractional derivatives and integrals (real functions)
35R11

Keywords: space-fractional partial differential equation; caputo derivative; finite element method

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