Distributed Solution of High-Order Compact Difference Schemes for Multidimensional Convection-Diffusion Equations

2003 ◽  
pp. 226-235
Author(s):  
Matthew F. Dixon ◽  
Kenneth Tan
Keyword(s):  
High Order ◽  
Difference Schemes ◽  
Diffusion Equations ◽  
Convection Diffusion ◽  
Compact Difference Schemes ◽  
Compact Difference

scholarly journals Compact difference schemes for convection-diffusion equations

2021 ◽  
Vol 57 (3) ◽  
pp. 311-318
Author(s):  
B. D. Utebaev
Keyword(s):  
Difference Schemes ◽  
Numerical Calculations ◽  
Diffusion Equations ◽  
Stability And Convergence ◽  
Convection Diffusion ◽  
Compact Difference Schemes ◽  
Compact Difference

This work is devoted to the construction of compact difference schemes for convection-diffusion equations with divergent and nondivergent convective terms. Stability and convergence in the discrete norms are proved. The obtained results are generalized to multidimensional convection-diffusion equations. The test numerical calculations presented in the work are consistent with the theoretical conclusions.

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