A boundary element numerical scheme for the two-dimensional convection-diffusion equation

2008 ◽  
Vol 76 (13) ◽  
pp. 2063-2090 ◽  
Author(s):  
Luis M. Romero ◽  
Francisco G. Benitez
Keyword(s):  
Diffusion Equation ◽  
Boundary Element ◽  
Numerical Scheme ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation

The Best Perturbation Method for the Parameter Inversion of Two-Dimension Convection-Diffusion Equation

2013 ◽  
Vol 380-384 ◽  
pp. 1143-1146
Author(s):  
Xiang Guo Liu
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Perturbation Method ◽  
Numerical Simulations ◽  
Numerical Solution ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Parameter Inversion ◽  
Parametric Inversion

The paper researches the parametric inversion of the two-dimensional convection-diffusion equation by means of best perturbation method, draw a Numerical Solution for such inverse problem. It is shown by numerical simulations that the method is feasible and effective.

Fractional Convection

2017 ◽  
Vol 13 (1) ◽  
Author(s):  
Changpin Li ◽  
Qian Yi ◽  
Jürgen Kurths
Keyword(s):  
Diffusion Equation ◽  
Numerical Scheme ◽  
Order Convergence ◽  
Discrete Form ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Second Order Convergence ◽  
First Time ◽  
Convection Dominated ◽  
Insight Into

In this study, we describe the fractional convection operator for the first time and present its discrete form with second-order convergence. A numerical scheme for the fractional-convection–diffusion equation is also constructed in order to get insight into the fractional convection behavior visually. Then, we study the fractional-convection-dominated diffusion equation which has never been considered, where the diffusion is normal and is characterized by the Laplacian. The interesting fractional convection phenomena are observed through numerical simulation. Moreover, we investigate the fractional-convection-dominated-diffusion equation which is studied for the first time either, where the convection and the diffusion are both in the fractional sense. The corresponding fractional convection phenomena are displayed via computer graphics as well.

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