Comparative Study of Different Implicit Finite Difference Methods to Solve the Heat Convection–Diffusion Equation for a Thin Copper Plate

2021 ◽  
pp. 105-116
Author(s):  
Nihal Ahmed ◽  
Ashfaq Ahmed ◽  
Muntasir Mamun
Keyword(s):  
Finite Difference ◽  
Diffusion Equation ◽  
Comparative Study ◽  
Finite Difference Methods ◽  
Copper Plate ◽  
Heat Convection ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Implicit Finite Difference ◽  
Difference Methods

scholarly journals ERROR ANALYSIS IN THE NUMERICAL SOLUTION OF 3D CONVECTION-DIFFUSION EQUATION BY FINITE DIFFERENCE METHODS

2009 ◽  
Vol 8 (1) ◽  
pp. 12 ◽  
Author(s):  
E. C. Romão ◽  
J. B. Campos-Silva ◽  
L. F. M. De Moura
Keyword(s):  
Finite Difference ◽  
Error Analysis ◽  
Numerical Solution ◽  
Diffusion Coefficients ◽  
Finite Difference Methods ◽  
Reynolds Numbers ◽  
Central Difference ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Difference Methods

In this work an error analysis for numerical solution of 3D convectiondiffusionequation by finite difference methods has been done. The backward, the forward and the central difference schemes are applied for three applications: a case with diffusion dominant corresponding to high diffusion coefficients and two cases with convection dominant or with low diffusion coefficients. In the second application the convective coefficients are function only of the diffusion coefficient that in dimensionless form is named Reynolds numbers. In the third application the convective coefficients are function of both the Reynolds number and of the space. The three applications have analytical solutions to facilitate numerical comparisons of the solutions.

Spectral analysis of finite difference schemes for convection diffusion equation

2017 ◽  
Vol 150 ◽  
pp. 95-114 ◽  
Author(s):  
V.K. Suman ◽  
Tapan K. Sengupta ◽  
C. Jyothi Durga Prasad ◽  
K. Surya Mohan ◽  
Deepanshu Sanwalia
Keyword(s):  
Spectral Analysis ◽  
Finite Difference ◽  
Diffusion Equation ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Convection Diffusion ◽  
Convection Diffusion Equation
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