### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 15 |

Publication status | Published - Jan 2011 |

### Publication series

Name | Memorandum / Department of Applied Mathematics |
---|---|

Publisher | University of Twente, Department of Applied Mathematics |

No. | 1934 |

ISSN (Print) | 1874-4850 |

ISSN (Electronic) | 1874-4850 |

### Keywords

- Reaction front
- Random walk simulation
- METIS-277498
- Instability
- IR-75757
- EWI-19362

### Cite this

*Stability of reaction fronts in random walk simulations*. (Memorandum / Department of Applied Mathematics; No. 1934). Enschede: University of Twente, Department of Applied Mathematics.

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*Stability of reaction fronts in random walk simulations*. Memorandum / Department of Applied Mathematics, no. 1934, University of Twente, Department of Applied Mathematics, Enschede.

**Stability of reaction fronts in random walk simulations.** / Nagy, Noemi; Izsak, F.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Stability of reaction fronts in random walk simulations

AU - Nagy, Noemi

AU - Izsak, F.

PY - 2011/1

Y1 - 2011/1

N2 - A model of propagating reaction fronts is given for simple autocatalytic reactions and the stability of the propagating reaction fronts are studied in several numerical experiments. The corresponding random walk simulations - extending of a recent algorithm - make possible the simultaneous treatment of moving particles. A systematic comparison with the standard deterministic simulations highlight the advantages of the present stochastic approach. The main favor of the random walk simulation is that the initial perturbation has no strong effect on the stability of the front unlike in deterministic cases.

AB - A model of propagating reaction fronts is given for simple autocatalytic reactions and the stability of the propagating reaction fronts are studied in several numerical experiments. The corresponding random walk simulations - extending of a recent algorithm - make possible the simultaneous treatment of moving particles. A systematic comparison with the standard deterministic simulations highlight the advantages of the present stochastic approach. The main favor of the random walk simulation is that the initial perturbation has no strong effect on the stability of the front unlike in deterministic cases.

KW - Reaction front

KW - Random walk simulation

KW - METIS-277498

KW - Instability

KW - IR-75757

KW - EWI-19362

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Stability of reaction fronts in random walk simulations

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -