Geodesic
On numerical simulation of plasma oscillations taking into account non-standard viscosity
Numerical methods and programming, Tome 25 (2024) no. 4, pp. 427-440

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The effect of non-standard viscosity on non-relativistic oscillations of cold plasma is numerically analyzed. The non-standard viscosity can be interpreted as a consequence of low electron heating when using the barotropic model. An implicit McCormack-type difference scheme has been constructed for calculations, which has a weaker stability constraint than the explicit scheme and is implemented without iterations, which increases its computational efficiency tenfold. It is shown that taking into account the non-standard viscosity of the plasma can be the reason for the formation of traveling waves of the soliton type.
Keywords: numerical simulation, non-relativistic oscillations, non-standard viscosity, implicit McCormack scheme, traveling waves. 
@article{VMP_2024_25_4_a3,
     author = {O. S. Rozanova and E. V. Chizhonkov},
     title = {On numerical simulation of plasma oscillations taking into account non-standard viscosity},
     journal = {Numerical methods and programming},
     pages = {427--440},
     publisher = {mathdoc},
     volume = {25},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a3/}
}
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O. S. Rozanova; E. V. Chizhonkov. On numerical simulation of plasma oscillations taking into account non-standard viscosity. Numerical methods and programming, Tome 25 (2024) no. 4, pp. 427-440. http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a3/