Abstract: Taking the Burgers equation as an example,an interval wavelet precise integration method (PIM) for nonlinear PDEs is proposed.The homotopy perturbation method (HPM) for nonlinear problems is adopted.It extends the application of HPM from one dimension to multi-dimensions.As an asymptotic analytical method,it is not sensitive to the time step and is suitable for nonlinear equations.

Key words: homotopy perturbation method, precise integration method, nonlinear partial differential equation, interpolating wavelet