Implicit-Explicit Methods for a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires

Implicit-Explicit Methods for a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires

Numerical techniques for approximate solution of a system of reaction-diffusion-convection partial differential equations modeling the evolution of temperature and fuel density in a wildfire are proposed. These schemes combine linearly implicit-explicit Runge–Kutta (IMEX-RK) methods and Strang-type...

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Bibliographic Details
Main Authors: Raimund Bürger, Elvis Gavilán, Daniel Inzunza, Pep Mulet, Luis Miguel Villada
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Mathematics
Subjects:
forest fire model
numerical solution
firebreak
convection-diffusion-reaction problem
implicit-explicit time integration
weighted essentially non-oscillatory reconstruction
Online Access:https://www.mdpi.com/2227-7390/8/6/1034

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https://www.mdpi.com/2227-7390/8/6/1034

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