An Implementation Solution for Fractional Partial Differential Equations

Nicolas Bertrand, Jocelyn Sabatier, Olivier Briat and Jean-Michel Vinassa

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:795651

DOI: 10.1155/2013/795651

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