title: A new mixed element method for a class of time-fractional partial differential equations.
abstract: 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)(Ω)(2)) space replacing the complex H(div; Ω) space. Some a priori error estimates in L (2)-norm for the scalar unknown u and in (L (2))(2)-norm for its gradient σ. Moreover, we also discuss a priori error estimates in H (1)-norm for the scalar unknown u.
authors.affiliation: School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
authors.forename: Yang
authors.identifier: 0000-0001-8218-0196
authors.initials: Y
authors.lastname: Liu
authors.affiliation: School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
authors.forename: Hong
authors.initials: H
authors.lastname: Li
authors.affiliation: School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Gao
authors.affiliation: School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
authors.forename: Siriguleng
authors.initials: S
authors.lastname: He
authors.affiliation: School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
authors.forename: Zhichao
authors.initials: Z
authors.lastname: Fang
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D055641:Mathematical Concepts; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted
references.citation: ScientificWorldJournal. 2013 Jun 22;2013:756281
references.pmid: 23864831