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Volume 3, Issue 1
Solution of Burgers' Equation Using the Marker Method

Jerome L. V. Lewandowski

Int. J. Numer. Anal. Mod., 3 (2006), pp. 80-93.

Published online: 2006-03

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  • 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.

  • Keywords

particle method, Burger equation, marker method, shape function.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-80, author = {Lewandowski , Jerome L. V.}, title = {Solution of Burgers' Equation Using the Marker Method}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/890.html} }
TY - JOUR T1 - Solution of Burgers' Equation Using the Marker Method AU - Lewandowski , Jerome L. V. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 80 EP - 93 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/890.html KW - particle method, Burger equation, marker method, shape function. AB -

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.

Lewandowski , Jerome L. V.. (2006). Solution of Burgers' Equation Using the Marker Method. International Journal of Numerical Analysis and Modeling. 3 (1). 80-93. doi:
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