Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations

  • Nadezhda Afanasyeva
  • Petr N. Vabishchevich
  • Maria Vasilyeva
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)


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.


non-stationary convection-diffusion equations two-layer weighted scheme unconditionally stable schemes 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Nadezhda Afanasyeva
    • 1
  • Petr N. Vabishchevich
    • 2
  • Maria Vasilyeva
    • 1
  1. 1.North-Eastern Federal UniversityYakutskRussia
  2. 2.Nuclear Safety InstituteMoscowRussia

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