A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations
Joint Authors
He, Siriguleng
Gao, Wei
Fang, Zhichao
Liu, Yang
Li, Hong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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 ( d i v ; 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 .
American Psychological Association (APA)
Liu, Yang& Li, Hong& Gao, Wei& He, Siriguleng& Fang, Zhichao. 2014. A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1048451
Modern Language Association (MLA)
Liu, Yang…[et al.]. A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1048451
American Medical Association (AMA)
Liu, Yang& Li, Hong& Gao, Wei& He, Siriguleng& Fang, Zhichao. A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1048451
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048451
