Three-point combined compact difference schemes for time-fractional advection–diffusion equations with smooth solutions

2015 ◽  
Vol 298 ◽  
pp. 520-538 ◽  
Author(s):  
Guang-Hua Gao ◽  
Hai-Wei Sun
Keyword(s):  
Difference Schemes ◽  
Diffusion Equations ◽  
Smooth Solutions ◽  
Compact Difference Schemes ◽  
Compact Difference ◽  
Advection Diffusion

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.

Simulating waves in flows by Runge-Kutta and compact difference schemes

AIAA Journal ◽  
1995 ◽  
Vol 33 (3) ◽  
pp. 421-429 ◽  
Author(s):  
Sheng-Tao Yu ◽  
Kwang-Chung Hsieh ◽  
Y.-L. Peter Tsai
Keyword(s):  
Difference Schemes ◽  
Compact Difference Schemes ◽  
Compact Difference ◽  
Runge Kutta
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