Numerical study of a nonlinear heat equation for plasma physics

نویسندگان

  • Francis Filbet
  • Claudia Negulescu
  • Chang Yang
چکیده

This paper is devoted to the numerical approximation of a nonlinear temperature balance equation, which describes the heat evolution of a magnetically confined plasma in the edge region of a tokamak. The nonlinearity implies some numerical difficulties, in particular long time behavior, when solved with standard methods. An efficient numerical scheme is presented in this paper, based on a combination of a directional splitting scheme and the IMEX scheme introduced in [4].

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عنوان ژورنال:
  • Int. J. Comput. Math.

دوره 89  شماره 

صفحات  -

تاریخ انتشار 2012