### Szczegóły

#### Tytuł artykułu

Investigation of the Stability and Convergence of Difference Schemes for the Three-dimensional Equations of the Atmospheric Boundary Layer#### Tytuł czasopisma

International Journal of Electronics and Telecommunications#### Rocznik

2018#### Numer

No 3#### Autorzy publikacji

#### Słowa kluczowe

atmospheric boundary layer equations ; difference scheme ; approximation error ; stability ; convergence algorithm ; numerical solution#### Wydział PAN

Nauki Techniczne#### Abstrakt

In this article we construct a finite-difference scheme for the three-dimensional equations of the atmospheric boundary layer. The solvability of the mathematical model is proved and quality properties of the solutions are studied. A priori estimates are derived for the solution of the differential equations. The mathematical questions of the difference schemes for the equations of the atmospheric boundary layer are studied. Nonlinear terms are approximated such that the integral term of the identity vanishes when it is scalar multiplied. This property of the difference scheme is formulated as a lemma. Main a priori estimates for the solution of the difference problem are derived. Approximation properties are investigated and the theorem of convergence of the difference solution to the solution of the differential problem is proved.#### Wydawca

Polish Academy of Sciences Committee of Electronics and Telecommunications#### Data

2018.08.23#### Typ

Artykuły / Articles#### Identyfikator

ISSN 2081-8491 (until 2012) ; eISSN 2300-1933 (since 2013)#### DOI

10.24425/123538