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Title: A Marker Method for the Solution of the Damped Burgers' Equatio

Technical Report ·
DOI:https://doi.org/10.2172/934517· OSTI ID:934517

A new method for the solution of the damped 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.

Research Organization:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
DE-AC02-76CH03073
OSTI ID:
934517
Report Number(s):
PPPL-4129; TRN: US0803869
Resource Relation:
Related Information: Submitted to Numerical Methods for Differential Equations
Country of Publication:
United States
Language:
English