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September 27, 2025Numerical Methods for Partial Differential Equations

Modeling Anomalous Diffusion With Riesz Fractional Derivatives: Applications to Pattern Formation

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Authors

KOKolade M. OwolabiEPEdson Pindza

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Overview

High-order numerical framework improves accuracy in modeling anomalous diffusion behaviors, suggesting new applications.

Key Points

  • A high-order numerical framework successfully models anomalous diffusion using the Riesz fractional derivative.
  • The proposed method ensures high accuracy and stability in solving partial differential equations involving fractional operators.
  • Comprehensive analysis and numerical simulations reveal complex spatiotemporal behaviors like Turing patterns and labyrinths.
  • The approach highlights the advantages of fractional modeling, capturing long-range interactions often overlooked in classical diffusion.

Cite This Study

Owolabi et al. (2025) studied this question.

synapsesocial.com/papers/68d7b3edeebfec0fc52370f5https://doi.org/10.1002/num.70041
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