期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 29, 期 4, 页码 1081-1096出版社
WILEY
DOI: 10.1002/num.21745
关键词
Caputo fractional derivative; finite element method; local discontinuous Galerkin finite element method; linear time-fractional Tricomi-type equation
资金
- Chinese Ministry of Education [211202, 212197]
- NSF of China [61163027, 10901131]
In this article, we consider the finite element method (FEM) for two-dimensional linear time-fractional Tricomi-type equations, which is obtained from the standard two-dimensional linear Tricomi-type equation by replacing the first-order time derivative with a fractional derivative (of order , with 1 << 2 ). The method is based on finite element method for space and finite difference method for time. We prove that the method is unconditionally stable, and the error estimate is presented. The comparison of the FEM results with the exact solutions is made, and numerical experiments reveal that the FEM is very effective. (c) 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013
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