The Homotopy Approximation Solution of One-Dimensional Burgers'Equation with Initial and Boundary Conditions
To solve class of Burgers'equation which has initial-boundary conditions in this paper,we had taken the linear part of the Burgers'equation as the auxiliary linear operator of homotopy equation,and had given the approximation solution and analysis of the na-ture of the solution.Compared with other results the homotopy approximation solution is better in physical properties and numerical approximation accuracy.