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Author

Ghuson S. Abed

2 papers indexed here

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Open access Aug 2026

A FRACTIONAL NONLOCAL PARTIAL DIFFERENTIAL EQUATION FRAMEWORK FOR ADAPTIVE TRAFFIC FLOW DYNAMICS

Many traffic flow-based nonlocal models consist of microscopic Ordinary Differential Equations (ODEs) and macroscopic Partial Differential Equations (PDEs). In this paper, a novel mathematical model based on fractional and nonlocal partial differential equations (PDEs) is proposed to capture adaptive traffic flow dynam...

I. R. Hassan, Ghuson S. Abed · 0 citations
Open access Aug 2026

A chebyshev spectral framework for solving coupled flow–diffusion equations with nonlinear transport effects

The process of nonlinear flow–diffusion appears in many physical systems and mathematical models, where gradient-driven diffusion alone is inadequate for describing transport processes because of flow-induced nonlinear effects. To address this issue, a framework based on the Chebyshev spectral method is developed. In t...

Ghuson S. Abed · 0 citations

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