Gladky A.V.
Stability of difference splitting schemes for the convective-diffusion equation

We consider numerical modeling of the propagation of pollution in the air on the basis of geometrical splitting method for three-dimensional nonstationary convection diffusion equations. Splitting difference schemes in the form of explicit computing schemes are proposed to solve the obtained one-dimensional problems. The approximation, monotonicity, and stability of the proposed difference schemes are investigated. © 2017, Springer Science+Business Media New York.

Keywords: convection–diffusion equation, difference scheme, numerical method, splitting methods, stability, Convergence of numerical methods, Diffusion, Diffusion in liquids, Heat convection, Partial differential equations, Computing scheme, Convection-diffusion equations, Difference schemes, Diffusion equations, Monotonicity, Nonstationary, One dimensional problems, Splitting method, Numerical methods

Cite:
Gladky A.V. (2017). Stability of difference splitting schemes for the convective-diffusion equation. Cybernetics and Systems Analysis, 53 (2), 38-50. doi: https://doi.org/10.1007/s10559-017-9919-5 http://jnas.nbuv.gov.ua/article/UJRN-0000670409 [In Russian].