Modeling Solution of Nonlinear Dispersive Partial Differential Equations using the Marker Method

Lewandowski, Jerome L.V.

Princeton University. Plasma Physics Laboratory.

关键词: Simulation Numerical Methods;    Numerical Simulation;    70 Plasma Physics And Fusion Technology;    Partial Differential Equations;    Shape;   

DOI  :  10.2172/836622
RP-ID  :  PPPL-4046
RP-ID  :  AC02-76CH03073
RP-ID  :  836622

美国|英语

来源: UNT Digital Library

【 摘 要 】

A new method for the solution of nonlinear dispersive partial differential equations is described. The marker method relies on the definition of a convective field associated with the underlying partial differential equation; the information about the approximate solution is associated with the response of an ensemble of markers to this convective field. Some key aspects of the method, such as the selection of the shape function and the initial loading, are discussed in some details.