Numerical Solution of Nonlinear Reaction-Advection-Diffusion Equation

被引:36
|
作者
Singh, Anup [1 ]
Das, S. [1 ]
Ong, S. H. [2 ,3 ]
Jafari, H. [4 ]
机构
[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India
[2] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
[3] UCSI Univ, Dept Actuarial Sci & Appl Stat, Kuala Lumpur 56000, Malaysia
[4] Univ South Africa UNISA, Dept Math Sci, ZA-0003 Pretoria, South Africa
来源
关键词
advection-diffusion equation; solute transport system; groundwater contamination; nonlinear reaction term; finite difference; TRANSPORT;
D O I
10.1115/1.4042687
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
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.
引用
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页数:6
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