2000 character limit reached
Unconditionally stable schemes for non-stationary convection-diffusion equations (1208.6140v1)
Published 30 Aug 2012 in cs.NA and math.NA
Abstract: Convection-diffusion problem are the base for continuum mechanics. The main features of these problems are associated with an indefinite operator the problem. In this work we construct unconditionally stable scheme for non-stationary convection-diffusion equations, which are based on use of new variables. Also, we consider these equations in the form of convection-diffusion-reaction and construct unconditionally stable schemes when explicit-implicit approximations are used with splitting of the reaction operator.