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An Implementation Solution for Fractional Partial Differential Equations
Joint Authors
Sabatier, Jocelyn
Bertrand, Nicolas
Briat, Olivier
Vinassa, Jean-Michel
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The link between fractional differentiation and diffusion equation is used in this paper to propose a solution for the implementation of fractional diffusion equations.
These equations permit us to take into account species anomalous diffusion at electrochemical interfaces, thus permitting an accurate modeling of batteries, ultracapacitors, and fuel cells.
However, fractional diffusion equations are not addressed in most commercial software dedicated to partial differential equations simulation.
The proposed solution is evaluated in an example.
American Psychological Association (APA)
Bertrand, Nicolas& Sabatier, Jocelyn& Briat, Olivier& Vinassa, Jean-Michel. 2013. An Implementation Solution for Fractional Partial Differential Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1032169
Modern Language Association (MLA)
Bertrand, Nicolas…[et al.]. An Implementation Solution for Fractional Partial Differential Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1032169
American Medical Association (AMA)
Bertrand, Nicolas& Sabatier, Jocelyn& Briat, Olivier& Vinassa, Jean-Michel. An Implementation Solution for Fractional Partial Differential Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1032169
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032169