Effect of adsorption coefficient and sorption intensity on the spatiotemporal variation of contaminant concentration in saturated porous media using the fractional advection–dispersion equation

• Published in: Discover applied sciences Vol. 7; no. 9; p. 993
• Main Authors: Yonti Madie, Calvia, Nonki, Rodric Merime, Yossa Dansi, Denis William, Nkili, Francky Joël, Togue Kamga, Fulbert
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 26.08.2025; Springer Nature B.V
• Subjects: Adsorption; Advection; Applied and Technical Physics; Aquifers; Boundary conditions; Chemistry/Food Science; Contaminants; Earth Sciences; Engineering; Environment; Environmental impact; Fractals; Groundwater; Materials Science; Mathematical models; Numerical analysis; Optimization; Parameters; Partial differential equations; Pollutants; Pollution dispersion; Porous media; Retention; Fractional advection–dispersion; Groundwater; Contaminant; Freundlich parameter

This study presents a numerical solution of time and space fractional advection–dispersion equation (FADE) using the explicit Euler method, combined with the standard Grünwald formula and the Caputo fractional time derivative. The research aims to contribute to a better understanding and optimizatio...