Application of the Homotopy Perturbation Method to the Burgers Equation with Delay

The homotopy perturbation method (HPM) is presented to obtain the solution of the time-delayed Burgers equation. The HPM is a an efficient approach to obtain an analytical approximate solution of linear and nonlinear problems. The HPM provides approximate solutions in the form of a convergent series with easily computable components. Some experiments are employed to illustrate the validity and flexibility of the HPM for solving the time-delayed Burgers equation.