scholarly journals Central finite-difference of numerical solution for three-dimensional atmospheric transport equation

2020 ◽  
Keyword(s):  
Finite Difference ◽  
Numerical Solution ◽  
Transport Equation ◽  
Atmospheric Transport ◽  
Three Dimensional ◽  
Central Finite Difference

scholarly journals INVESTIGATION OF A COST‐EFFECTIVE FINITE DIFFERENCE SCHEME FOR THE TRANSPORT EQUATION

2003 ◽  
Vol 8 (3) ◽  
pp. 247-258
Author(s):  
D. G. Slugin ◽  
A. V. Popov
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Transport Equation ◽  
Finite Difference Scheme ◽  
Three Dimensional ◽  
Cost Effective ◽  
Differential Approximation ◽  
Fully Discrete ◽  
Implicit Finite Difference Scheme ◽  
Implicit Finite Difference

The transport equation for three‐dimensional flow of a viscous gas is considered. An implicit finite difference scheme is constructed for approximating the transport equation. The error estimation is proved. The main part of the analysis is done for the first differential approximation of the proposed finite difference scheme, but the results are also valid in the fully discrete case.

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