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September 10, 2025Studies in Applied MathematicsOpen Access

A Front‐Fixing Numerical Method for a Free‐Boundary Nonlocal Diffusion Logistic Model

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Authors

MCM.‐C. CasabánRCR. CompanyVEVera N. Egorova

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Overview

This analysis employs a front-fixing transformation to resolve a nonlocal diffusion model, highlighting kernel influence on population spread.

Key Points

  • The proposed numerical method accurately solves a nonlocal diffusion model with moving boundaries, improving population dynamics predictions.
  • Using finite difference schemes, the method maps complex diffusion into a more manageable partial integro-differential equation.
  • Numerical validation reveals insights into how kernel properties impact accelerating population spread rates.
  • The framework demonstrates computational efficiency and flexibility across varied scenarios, supporting future complex problem extensions.

Cite This Study

Casabán et al. (2025) studied this question.

synapsesocial.com/papers/68c1bb6a54b1d3bfb60ed638https://doi.org/10.1111/sapm.70094
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