Difference Schemes on Nonuniform Grids for the Two-Dimensional Convection–Diffusion Equation
- Авторы: Matus P.P.1,2, Hieu L.M.3,4
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Учреждения:
- John Paul II Catholic University of Lublin
- Institute of Mathematics
- Belarussian State University
- University of Economics, University of Danang
- Выпуск: Том 57, № 12 (2017)
- Страницы: 1994-2004
- Раздел: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179589
- DOI: https://doi.org/10.1134/S0965542517120107
- ID: 179589
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Аннотация
New second-order accurate monotone difference schemes on nonuniform spatial grids for two-dimensional stationary and nonstationary convection–diffusion equations are proposed. The monotonicity and stability of the solutions of the computational methods with respect to the boundary conditions, the initial condition, and the right-hand side are proved. Two-sided and corresponding a priori estimates are obtained in the grid norm of C. The convergence of the proposed algorithms to the solution of the original differential problem with the second order is proved.
Об авторах
P. Matus
John Paul II Catholic University of Lublin; Institute of Mathematics
Автор, ответственный за переписку.
Email: matus@im.bas-net.by
Польша, Lublin, 20-950; Minsk, 220030
Le Hieu
Belarussian State University; University of Economics, University of Danang
Email: matus@im.bas-net.by
Белоруссия, Minsk, 220030; Danang, 590000
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