Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution

Most engineering problems, especially heat transfer equations are mostly nonlinear. Homotopy analysis method (HAM) has been applied to solve many differential equations. In this Letter, we use HAM for nonlinear, Benjamin–Bona–Mahony–Burgers equations (BBMB) which may contain high nonlinear terms. Comparison of the results with those of homotopy analysis method and exact solution shows the accuracy of the HAM method.