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Article Dans Une Revue International Journal of Computer Mathematics Année : 2012

Numerical study of a nonlinear heat equation for plasma physics

Francis Filbet
Chang Yang

Résumé

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 [Filbet and Jin]
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Dates et versions

hal-00596678 , version 1 (28-05-2011)

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Francis Filbet, Claudia Negulescu, Chang Yang. Numerical study of a nonlinear heat equation for plasma physics. International Journal of Computer Mathematics, 2012, 89, pp.1060-1082. ⟨hal-00596678⟩
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