Compact diﬀerence schemes for convection-diﬀusion equations | Zendy

B. D. Utebaev | Zendy

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Compact diﬀerence schemes for convection-diﬀusion equations

Author(s) -

B. D. Utebaev

Publication year - 2021

Publication title -

proceedings of the national academy of sciences of belarus physics and mathematics series

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.

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