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20242026
most citedFractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator

9 citations · 30 across the 14 of their papers we have counts for

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math.NA2026

Structure-Preserving Neural ODEs via Nonstandard Finite Difference Discretization

Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi

Although neural ordinary differential equations (NODEs) are a powerful framework for learning continuous-time dynamics, they generally do not preserve essential qualitative propert…

math.NA2026

A Nonstandard Finite Difference Scheme for a Nonlinear Parabolic Equation with p-Laplacian-Type Diffusion

Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi

We propose and analyze a nonstandard finite difference (NSFD) scheme for nonlinear parabolic equations involving a p-Laplacian-type diffusion operator in one- and two-dimensional s…