Solution of the Burgers Equation by the Method of Lines

J. Biazar¹, Z. Ayati^2, and S. Shahbazi¹

¹Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

²Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar-Vajargah, Iran

Cite this paper:
J. Biazar, Z. Ayati and S. Shahbazi. Solution of the Burgers Equation by the Method of Lines. American Journal of Numerical Analysis. 2014; 2(1):1-3. doi: 10.12691/ajna-2-1-1

Abstract

The method of lines (MOL), as a semi analytical procedure, is well known to experts in computational techniques in electromagnetic. The range of applications of the method has increased dramatically in the past few years. Nevertheless, there is no introductory paper to initiate to the method a beginner. This paper has been illustrated the application of the MOL to solve burgers equation. Three numerical examples are presented to illustrate the procedure. The obtained results have been compared with analytical solutions and are satisfactory.

Keywords:
the method of lines Burgers equation Partial differential equation Ordinary differential equation

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