Open AccessCompact difference schemes for convection-diffusion equations
Author(s) -
B. D. Utebaev
Publication year - 2021
Publication title -
vescì nacyânalʹnaj akadèmìì navuk belarusì. seryâ fìzìka-matèmatyčnyh navuk
Language(s) - English
Resource type - Journals
eISSN - 2524-2415
pISSN - 1561-2430
DOI - 10.29235/1561-2430-2021-57-3-311-318
Subject(s) - convection , work (physics) , stability (learning theory) , convergence (economics) , convection–diffusion equation , mathematics , physics , computer science , mathematical analysis , mechanics , thermodynamics , economics , machine learning , economic growth
This work is devoted to the construction of compact dierence schemes for convection-diusion equations with divergent and nondivergent convective terms. Stability and convergence in the discrete norms are proved. The obtained results are generalized to multidimensional convection-diusion equations. The test numerical calculations presented in the work are consistent with the theoretical conclusions.