HAM solution of some initial value problems arising in heat radiation equations

Mathematical modeling of many phenomena, especially in heat transfer, usually leads to a nonlinear equation. Traditional approaches for solving such equations are time consuming and difficult affairs tasks. In this paper, based on the homotopy analysis method (HAM), a series solution for the problem of unsteady nonlinear convective–radiative equation is obtained. In HAM, one would be able to control the convergence of approximation series and adjust its convergence region, conveniently. Ability and efficiency of proposed approach are tested via some cases of above mentioned problem. It is found that homotopy analysis approach provides a greatly accelerated convergence series solution for problem.