Some invariant solutions for a microwave heating model

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摘要

In this paper, we apply the classical Lie point symmetry techniques to time dependent nonlinear reaction–diffusion equations with source term that arise in modelling microwave heating. In particular, we obtained invariant solutions for the case were the source term decreases spatially and increases with temperature.

论文关键词:Reaction–diffusion equation,Lie point symmetries,Invariant solutions

论文评审过程:Available online 28 February 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.02.088