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Article

Compact difference schemes for convection-diffusion equations

B. D. UtebaevInstitute of Mathematics of the National Academy of Sciences of Belarus
2021en
ABI

Abstract

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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