doi: 10.7763/IJAPM.2013.V3.186
WENO Schemes for the Resolution of the Two-Dimensional Vlasov-Poisson System
Yacine Benhadid
- the PAAET, Kuwait
Abstract
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.
Keywords
- WENO schemes
- vlasov equation
- time splitting method
How to Cite
Yacine Benhadid, "WENO Schemes for the Resolution of the Two-Dimensional Vlasov-Poisson System," International Journal of Applied Physics and Mathematics, vol. 3, no. 2, pp. 106-110, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.186
Copyright & License
Copyright © 2013 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).