Time Discretization/Linearization Approach Based on HOC Difference Schemes for Semilinear Parabolic Systems of Atmosphere Modelling
We implement implicit-explicit (IMEX) linear multistep time-discretization to HOC difference schemes for weakly coupled nonlinear parabolic systems with desirable time-step restrictions and positivity preservation of the numerical solution. Numerical experiments are performed with IMEX-BDF1 (backward difference method of order one), IMEX-BDF2 (backward difference method of order two) and CN-LF (Crank-Nicolson Leap Frog) to check the properties of the methods.
This work was partially supported by the Bulgarian National Fund of Science under the grant DFNI I02-20/2014, as well as by the Program for career development of the Young scientists, BAS, Grant No. DFNP-91/04.05.2016 and by the Project 2017-FNSE-03 of the University of Ruse.
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