Numerical Solution of Diffusion Model of Brown Stock Washing Beds of Finite Length Using MATLAB

2008 ◽  
Author(s):  
V.P. Singh ◽  
Vivek Kumar ◽  
Deepak Kumar
Keyword(s):  
Numerical Solution ◽  
Diffusion Model ◽  
Finite Length

scholarly journals Convergence Properties of the Bi-CGSTAB Method for the Solution of the 3D Poisson and 3D Electron Current Continuity Equations for Scaled Si MOSFETs

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 301-305 ◽  
Author(s):  
D. Vasileska ◽  
W. J. Gross ◽  
V. Kafedziski ◽  
D. K. Ferry
Keyword(s):  
Numerical Modeling ◽  
Numerical Solution ◽  
Diffusion Model ◽  
Semiconductor Devices ◽  
Semiconductor Technology ◽  
Electron Current ◽  
Drift Diffusion Model ◽  
Convergence Properties ◽  
Drift Diffusion ◽  
Continuity Equations

As semiconductor technology continues to evolve, numerical modeling of semiconductor devices becomes an indispensible tool for the prediction of device characteristics. The simple drift-diffusion model is still widely used, especially in the study of subthreshold behavior in MOSFETs. The numerical solution of these two equations offers difficulties in small devices and special methods are required for the case when dealing with 3D problems that demand large CPU times. In this work we investigate the convergence properties of the Bi-CGSTAB method. We find that this method shows superior convergence properties when compared to more commonly used ILU and SIP methods.

scholarly journals Validation of numerical solution of diffusive part in a reaction–diffusion model

2017 ◽  
Vol 74 (1) ◽  
pp. 143-156 ◽  
Author(s):  
E.C. Herrera-Hernández ◽  
M. Núñez-López ◽  
J.A. González-Calderón
Keyword(s):  
Numerical Solution ◽  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Diffusive Part

scholarly journals Numerical solution of a coupled reaction-diffusion model using barycentric interpolation collocation method

2020 ◽  
Vol 24 (4) ◽  
pp. 2561-2567
Author(s):  
Yu Zhang ◽  
Wei Zhang ◽  
Chenhui Zhao ◽  
Yulan Wang
Keyword(s):  
Approximate Solution ◽  
Numerical Solution ◽  
Collocation Method ◽  
Diffusion Model ◽  
Numerical Experiments ◽  
Reaction Diffusion ◽  
Barycentric Interpolation ◽  
Reaction Diffusion Model ◽  
Linear Reaction ◽  
Coupled Reaction

In thermal science, chemical and mechanics, the non-linear reaction-diffusion model is very important, and an approximate solution with high precision is always needed. In this article, the barycentric interpolation collocation method is proposed for this purpose. Numerical experiments show that the proposed approach is highly reliable.

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