INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 5, Issue 1 , March 2016

Pages: 76-89

Date of Publication: 01-Mar-2016

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FINITE DIFFERENCE METHOD FOR THE BURGERS EQUATION

Author: Wabuti S Protus*

Category: Engineering, Science and Mathematics

Abstract:

Burgers equation: ut + uux = λuxx is a fundamental partial differential equation arising from fluid mechanics. It occurs in various areas of applied mathematics, such as modeling of gas dynamics and traffic flow. It was named after Johannes Martinus Burgers (1895 – 1981). J. M. Burgers did studies on the equation in 1940s principally as a model problem of the interaction between nonlinear and dissipative phenomena.

Keywords: 1.EXPLICIT 2. SCHMIDT 3. DISCRETIZATION 4.SCHEME