Volume 3 Number 2 (Mar. 2013)
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IJAPM 2013 Vol.3(2): 106-110 ISSN:2010-362X
DOI: 10.7763/IJAPM.2013.V3.186

WENO Schemes for the Resolution of the Two-Dimensional Vlasov-Poisson System

Yacine Benhadid

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.

Index Terms—WENO schemes, vlasov equation, time splitting method.

Yacine Benhadid is with the PAAET, Kuwait (email: y.benhadid@hotmail.com).

 

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.

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing:  Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Nanowerk Database, Google Scholar, EBSCO, etc.
E-mail: ijapm@iap.org
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