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On etudie une methode de particules aleatoires pour la resolution de l'equation de reaction-diffusion u t =νu xx +f(u) qui est l'analogue unidimensionnel de la methode du tourbillon aleatoire. On demontre la convergence pour f(u)=u(1−u). On presente les resultats d'experiences numeriques

Convergence of a random particle method to solutions of the Kolmogorov equation 𝑢_{𝑡}=𝜈𝑢ₓₓ+𝑢(1-𝑢)