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

Lewandowski, J. L. V.

Technical Information Center Oak Ridge Tennessee

关键词: Partial differential equations;    Shape;    Simulation;    Numerical methods;   

RP-ID  :  DE2005836622

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports 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.