Logistic curves and formation of variable steps of spatial variable integration. (Russian. English summary) Zbl 1324.76023

Lipanov, A. M.

Mat. Model. 26, No. 5, 65-78 (2014).

The differential logistic equation is applied for choosing variable steps of integration in relation to spatial coordinates in initial and boundary problems of hydrodynamics.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

76D10	Boundary-layer theory, separation and reattachment, higher-order effects
65M50	Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65M55	Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs

Keywords:

boundary-layer theory; atmospheric waves; heat and mass transfer; heat flow; flow control and optimization; mesh generation and refinement; multigrid methods; domain decomposition