论文标题
针对Barkley模型的螺旋波动态的反应扩散模型的统一分析
A unified Analysis For Reaction Diffusion Models With Application To The Spiral Waves Dynamic Of The Barkley Model
论文作者
论文摘要
应用梯度离散方法（GDM），本文为反应扩散模型进行了全面的数值分析。仅使用三个属性，该分析为与GDM保持一致的几种符合和不合格的数值方案提供了收敛结果。作为该分析的应用，设计了反应扩散模型的杂化模拟混合（HMM）方法，并建立了其收敛性。提出了使用HMM方法的数值实验，以促进研究Barkley模型中螺旋波的创建以及与生成介质的边界相互作用时波的行为方式
Applying the gradient discretisation method (GDM), the paper develops a comprehensive numerical analysis for the reaction diffusion model. Using only three properties, this analysis provides convergence results for several conforming and non-conforming numerical schemes that align with the GDM. As an application of this analysis, the hybrid mimetic mixed (HMM) method for the reaction diffusion model is designed and its convergence established. Numerical experiments using the HMM method are presented to facilitate study of the creation of spiral waves in the Barkley model and the ways in which the waves behave when interacting with the boundaries of their generating medium
