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A new mixed element method for a class of time-fractional partial differential equations.

Authors
Type
Published Article
Journal
The Scientific World JOURNAL
1537-744X
Publisher
Hindawi (The Scientific World)
Publication Date
Volume
2014
Pages
141467–141467
Identifiers
DOI: 10.1155/2014/141467
PMID: 24737957
Source
Medline

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.

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