Two-dimensional mathematical model of the transport equations of some pollutants and their diffusion in a particular fluid

Issue title: Mathematical Modelling in Computational and Life Sciences

Guest editors: Ahmed Farouk

Article type: Research Article

Authors: Boulaaras, Salah^{a; b; *; 1} | Allahem, Ali^c

Affiliations: [a] Department of Mathematics, College of Science and Arts, Al-Ras, Qassim University, Kingdom of SaudiArabia | [b] Laboratory of Fundamental and Applied Mathematics of Oran(LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria | [c] Department of Mathematics, College of Science, Qassim University, Kingdom of Saudi Arabia

Correspondence: [*] Corresponding author. Salah Boulaaras. E-mails: [email protected]. or [email protected].

Note: [1] The authors gratefully acknowledge Qassim University, represented by the Deanship of Scientific Research, on the material support for this research under number (1175-alrasscac-2018-1-12-S) during the academic year 1440 AH/ 2018 AD.

Abstract: Motivated by our recent publication in ([9]), which was supported during the academic year 2016/1437 by the Deanship of Scientific Research in Project 1175, we will develop the previous mathematical model into a two-dimensional model of the transition equations of some pollutants and their rapid spread in a particular liquid, taking into account the given stability analysis of the numerical method which based on finite difference time scheme combined with Galerkin special approximation. This method has been given by our published work in ([12]).

Keywords: Mathematical model, transport propagation equations, pollution, finite elements, finite differences timescheme

DOI: 10.3233/JIFS-179534

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2457-2467, 2020