Title :
ENO Schemes for the Two-Dimensional Vlasov Equation
Author :
Benhadid, Yacine
Author_Institution :
Dept. of Math., King Saud Univ., Riyadh, Saudi Arabia
Abstract :
In the paper, we present a new approach to solve the Vlasov equation in two dimensions. First, we use the time splitting method then we apply the ENO (essentially nonoscillatory) 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.
Keywords :
Poisson equation; Vlasov equation; 2D Vlasov equation; 2D Vlasov-Poisson system; essentially nonoscillatory scheme; time splitting method; transformation time-space; Computational modeling; Educational institutions; Equations; Extraterrestrial phenomena; Laboratories; Large-scale systems; Mathematics; Plasma simulation; Signal processing; Signal processing algorithms;
Conference_Titel :
2009 International Conference on Signal Processing Systems
Conference_Location :
Singapore
Print_ISBN :
978-0-7695-3654-5
DOI :
10.1109/ICSPS.2009.217
