Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

Singh, Anup and Das, Subir and Ong, Siew Hui and Jafari, Hossein (2019) Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation. Journal of Computational and Nonlinear Dynamics, 14 (4). 041003. ISSN 1555-1415, DOI

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In the present article, the advection-diffusion equation (ADE) having a nonlinear type source/sink term with initial and boundary conditions is solved using finite difference method (FDM). The solution of solute concentration is calculated numerically and also presented graphically for conservative and nonconservative cases. The emphasis is given for the stability analysis, which is an important aspect of the proposed mathematical model. The accuracy and efficiency of the proposed method are validated by comparing the results obtained with existing analytical solutions for a conservative system. The novelty of the article is to show the damping nature of the solution profile due to the presence of the nonlinear reaction term for different particular cases in less computational time by using the reliable and efficient finite difference method. © 2019 by ASME.

Item Type: Article
Uncontrolled Keywords: advection-diffusion equation; finite difference; groundwater contamination; nonlinear reaction term; solute transport system
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 14 Jan 2020 04:10
Last Modified: 14 Jan 2020 04:10

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