PPPL-4046 is available in <a href="PPPL-4046.pdf">pdf</a> format (920 KB).
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<b>Modeling Solution of Nonlinear Dispersive Partial Differential Equations using the Marker Method</b>
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<b>Author:</b> Jerome L.V. Lewandowski
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<b>Date of PPPL Report:</b> January 2005
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<b>Accepted for publication in:</b> the International Journal of Computing Engineering Science</p>


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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.



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