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Long-time diffusion behavior of variable-coefficient fractional reaction–diffusion model for pattern dynamics
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DOI：10.1016/j.cnsns.2025.109082.png)
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Abstract
En 中文
• The spatial fractional GS model and FHN model with spatiotemporal variable coefficients are proposed. • Fourier spectral method is developed for 3D variable-coefficient spatial fractional reaction–diffusion models governed by Riesz fractional derivative. • The effects of different forms of diffusion coefficients (including trigonometric, polynomial and combined functions) on pattern formation are investigated. Additionally, the temporal evolution of patterns in the 3D variable-coefficient spatial fractional reaction–diffusion models is discussed.
Keywords:
spatial fractional GS model
FHN model
variable coefficients
pattern formation
Fourier spectral method
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