Time Discretization/Linearization Approach Based on HOC Difference Schemes for Semilinear Parabolic Systems of Atmosphere Modelling

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10665)


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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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • I. Dimov
    • 1
  • J. Kandilarov
    • 2
  • V. Todorov
    • 1
  • L. Vulkov
    • 2
  1. 1.Institute of Information and Communication TechnologiesBASSofiaBulgaria
  2. 2.Department of MathematicsUniversity of RuseRuseBulgaria

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