Inviscid burgers equations and its numerical solutions

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2017

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Oyar, Nazmi

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In this work, we consider the Burgers equation with zero viscosity term which is called the inviscid Burgers equation. We analyzed this equation both theoretically and numerically through this study. Firstly, we solve this equation analytically by means of characteristic method since it is in the class of quasilinear partial differential equation. Then, initial value problems for this equation subject to continuous and discontinuous initial conditions are studied. We used three different numerical schemes namely Lax-Friedrichs, Godunov and Lax Wendroff. The results of the numerical experiments are compared by means of introducing finite difference methods.

Subject Keywords

Stock exchanges., Numerical analysis., Differential equations, Partial.

URI

http://etd.lib.metu.edu.tr/upload/12621609/index.pdf
https://hdl.handle.net/11511/26764

Collections

Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

N. Oyar, “Inviscid burgers equations and its numerical solutions,” M.S. - Master of Science, Middle East Technical University, 2017.