Akademik Veri Yönetim Sistemi
Tezin Türü: Yüksek Lisans
Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Türkiye
Tezin Onay Tarihi: 2017
Tezin Dili: İngilizce
Öğrenci: Nazmi Oyar
Danışman: BAVER OKUTMUŞTUR
Özet: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.