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摘要
A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed element method, whose gradient belongs to the simple (L-2(Omega))(2) space replacing the complex H(div; Omega) space. Some a priori error estimates in L-2-norm for the scalar unknown u and in (L-2)(2)-norm for its gradient sigma. Moreover, we also discuss a priori error estimates in H-1-norm for the scalar unknown u.
- 出版日期2014
- 单位内蒙古大学
