An IMEX scheme for reaction-diffusion equations

Application for a PEM fuel cell model

I. Faragó, Ferenc Izsák, Tamás Szabó, Ákos Kriston

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the {norm of matrix}·{norm of matrix} norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.

Original languageEnglish
Pages (from-to)746-759
Number of pages14
JournalCentral European Journal of Mathematics
Volume11
Issue number4
DOIs
Publication statusPublished - 2013

Fingerprint

Explicit Scheme
Fuel Cell
Implicit Scheme
Reaction-diffusion Equations
Membrane
Norm
Matrix Norm
Method of Lines
Explicit Methods
Implicit Method
Neumann Boundary Conditions
Finite Difference
Numerical Solution
Model

Keywords

  • Finite difference method
  • IMEX method
  • Reaction-diffusion equation
  • Staggered grid

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

An IMEX scheme for reaction-diffusion equations : Application for a PEM fuel cell model. / Faragó, I.; Izsák, Ferenc; Szabó, Tamás; Kriston, Ákos.

In: Central European Journal of Mathematics, Vol. 11, No. 4, 2013, p. 746-759.

Research output: Contribution to journalArticle

Faragó, I. ; Izsák, Ferenc ; Szabó, Tamás ; Kriston, Ákos. / An IMEX scheme for reaction-diffusion equations : Application for a PEM fuel cell model. In: Central European Journal of Mathematics. 2013 ; Vol. 11, No. 4. pp. 746-759.
@article{2021f1fe24754b79b87ab1064a0eae10,
title = "An IMEX scheme for reaction-diffusion equations: Application for a PEM fuel cell model",
abstract = "An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the {norm of matrix}·{norm of matrix}∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.",
keywords = "Finite difference method, IMEX method, Reaction-diffusion equation, Staggered grid",
author = "I. Farag{\'o} and Ferenc Izs{\'a}k and Tam{\'a}s Szab{\'o} and {\'A}kos Kriston",
year = "2013",
doi = "10.2478/s11533-012-0157-9",
language = "English",
volume = "11",
pages = "746--759",
journal = "Open Mathematics",
issn = "1895-1074",
publisher = "Walter de Gruyter GmbH & Co. KG",
number = "4",

}

TY - JOUR

T1 - An IMEX scheme for reaction-diffusion equations

T2 - Application for a PEM fuel cell model

AU - Faragó, I.

AU - Izsák, Ferenc

AU - Szabó, Tamás

AU - Kriston, Ákos

PY - 2013

Y1 - 2013

N2 - An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the {norm of matrix}·{norm of matrix}∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.

AB - An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the {norm of matrix}·{norm of matrix}∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.

KW - Finite difference method

KW - IMEX method

KW - Reaction-diffusion equation

KW - Staggered grid

UR - http://www.scopus.com/inward/record.url?scp=84873182152&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873182152&partnerID=8YFLogxK

U2 - 10.2478/s11533-012-0157-9

DO - 10.2478/s11533-012-0157-9

M3 - Article

VL - 11

SP - 746

EP - 759

JO - Open Mathematics

JF - Open Mathematics

SN - 1895-1074

IS - 4

ER -