Browsing by Author "Mehari Tigistu"
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Item Method of Characteristics on Wave and Burger's Equations(Addis Ababa University, 2014-08-08) Mehari Tigistu; Abdi Tadesse (PhD)This project provides how the method of characteristics is applied to derive the fundamental solution of linear homogeneous wave equation and how shock waves and shock solutions are formed by a discontinuous initial condition. Moreover, it provides how the solution of the linear non-homogeneous wave equation is determined by combining the split equations, the homogeneous wave equation with non-zero initial data and the non-homogeneous wave equation with zero initial data using method of characteristics.