%0 Journal Article
%T WENO Schemes for the Resolution of the Two-Dimensional Vlasov-Poisson System
%A Yacine Benhadid
%J International Journal of Applied Physics and Mathematics
%D 2013
%I IACSIT Press
%R 10.7763/ijapm.2013.v3.186
%X A numerical resolution of the two dimensional Vlasov-Poisson system is proposed. The time splitting method is used on the Vlasov equations to reduce the dimensions, then we apply the WENO (weighted essentially non-oscillatory) scheme based on the idea of Harten to solve our equation. We elaborate a transformation time-space to avoid the mixed problem and reducing the error. This algorithm is applied to the two dimensional Vlasov-Poisson system and an evolution of the density and the total energy is presented
%K WENO schemes
%K vlasov equation
%K time splitting method
%U http://www.ijapm.org/papers/186-PM014(1).pdf