Numerical solution of the burgers equation

This is a chapter on numerical solutions of the Burgers equation given by Ut + eUUx - ? Uxx = 0, a = x = b. The Burgers equation is a nonlinear partial di?erential equations which combines the e?ect of nonlinearity (eUUx) and dissipation (? Uxx). Even though there is an analytical solution for the Burgers equation, we certainly look for other alternative to solve the Burgers equation. The semi-implicit pseudo-spectral method is used to develop a numerical scheme to solve the Burgers equation with Gaussian type initial condition. The numerical simulation is carried out using a numerical solver (FORSO) and shown to be consistent with previous studie