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.

High order compact difference schemes for the complex flow fields in anisotropic porous fibrous media with sorption

2013 ◽  
Vol 88 ◽  
pp. 473-483 ◽  
Author(s):  
Qingyong Zhu ◽  
Dingling Zhang ◽  
Shuyan Deng ◽  
Yaoqin Chen ◽  
Junjun Sun
Keyword(s):  
Flow Fields ◽  
High Order ◽  
Difference Schemes ◽  
Complex Flow ◽  
Fibrous Media ◽  
Compact Difference Schemes ◽  
Compact Difference
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