# A Marker Method for the Solution of the Damped Burgers' Equatio

## Abstract

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.

- Authors:

- Publication Date:

- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 934517

- Report Number(s):
- PPPL-4129

TRN: US0803869

- DOE Contract Number:
- DE-AC02-76CH03073

- Resource Type:
- Technical Report

- Resource Relation:
- Related Information: Submitted to Numerical Methods for Differential Equations

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PARTIAL DIFFERENTIAL EQUATIONS; SHAPE; PHYSICS; Numerical Methods; Numerical Simulation; Partial Differential Equations

### Citation Formats

```
Jerome L.V. Lewandowski.
```*A Marker Method for the Solution of the Damped Burgers' Equatio*. United States: N. p., 2005.
Web. doi:10.2172/934517.

```
Jerome L.V. Lewandowski.
```*A Marker Method for the Solution of the Damped Burgers' Equatio*. United States. doi:10.2172/934517.

```
Jerome L.V. Lewandowski. Tue .
"A Marker Method for the Solution of the Damped Burgers' Equatio". United States.
doi:10.2172/934517. https://www.osti.gov/servlets/purl/934517.
```

```
@article{osti_934517,
```

title = {A Marker Method for the Solution of the Damped Burgers' Equatio},

author = {Jerome L.V. Lewandowski},

abstractNote = {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.},

doi = {10.2172/934517},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Nov 01 00:00:00 EST 2005},

month = {Tue Nov 01 00:00:00 EST 2005}

}

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