The Adomian decomposition method solution of the inviscid Burgers equation

Abstract

We study the inviscid Burgers equation which models nonlinear wave propagation. We derive the inviscid Burgers equation from the Navier-Stokes equation and solve it using the Adomian decomposition method. By means of numerical examples we show that the Adomian decomposition method produces results that compare favourably with the exact solution obtained using the method of characteristics.