Modeling anomalous transport in fractal porous media: A study of fractional diffusion PDEs using numerical method

• Main Authors: Ahmad I., Mekawy I., Khan M.N., Jan R., Boulaaras S.
• Other Authors: 57220824630
• Format: Article
• Published: Walter de Gruyter GmbH 2025
• Subjects: Diffusion in liquids; Fractals; Heat conduction; Heat convection; Image segmentation; Partial differential equations; Porous materials; Radial basis function networks; Base function; Convection-diffusion models; Fractional derivatives; Hybrid multiquadric-cubic radial base function; Meshless collocation methods; Modeling equations; Multi terms; Multiquadrics; Multiterm time-fractional convection-diffusion model equation; Radial basis; Numerical methods

Fractional diffusion partial differential equation (PDE) models are used to describe anomalous transport phenomena in fractal porous media, where traditional diffusion models may not be applicable due to the presence of long-range dependencies and non-local behaviors. This study presents an efficien...