Inviscid burgers equations and its numerical solutions


Thesis Type: Postgraduate

Institution Of The Thesis: Middle East Technical University, Faculty of Arts and Sciences, Department of Mathematics, Turkey

Approval Date: 2017

Thesis Language: English

Student: Nazmi Oyar

Consultant: BAVER OKUTMUŞTUR

Abstract:

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.