Abstract
In this paper a time discontinuous space-time finite element method for fractional diffusion-wave equation is studied. The existence and the uniqueness of the numerical solution are included. When we adopt the shape function as the piecewise r-order function, the convergence order is proved to be r+1 in the sense of L2 norm and r+1/2 in the sense of max norm, respectively. Numerical examples with comparisons the accuracy and effectiveness of proposed method are presented.
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