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A note on the finite element method for the space-fractional advection diffusion equation
Zheng, Yunying
Li, Changpin
Zhao, Zhengang
Computers & Mathematics with Applications, 59(5), pp 1718-1726, 2010-3
Summary
In this paper, 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.
Keywords
Space-fractional partial differential equation; Caputo derivative; Finite element method
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