TY - JOUR
N2 - 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.
L1 - http://journals.pan.pl/Content/107753/PDF/54_1038.pdf
L2 - http://journals.pan.pl/Content/107753
PY - 2018
IS - No 3
DO - 10.24425/123538
KW - atmospheric boundary layer equations
KW - difference scheme
KW - approximation error
KW - stability
KW - convergence algorithm
KW - numerical solution
A1 - Temirbekov, Almas N.
A1 - Urmashev Baydaulet A.
A1 - Gromaszek, Konrad
PB - Polish Academy of Sciences Committee of Electronics and Telecommunications
VL - vol. 64
DA - 2018.08.23
T1 - Investigation of the Stability and Convergence of Difference Schemes for the Three-dimensional Equations of the Atmospheric Boundary Layer
UR - http://journals.pan.pl/dlibra/publication/edition/107753
T2 - International Journal of Electronics and Telecommunications
ER -