Year: 2006
Author: Jerome L. V. Lewandowski
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 1 : pp. 80–93
Abstract
A new method for the solution of Burgers' equation 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. The marker method is applicable to a general class of nonlinear dispersive partial differential equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-IJNAM-890
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 1 : pp. 80–93
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: particle method Burger equation marker method shape function.