The oscillations of solutions of initial value problems for parabolic equations by HPM

Abstract

In this paper, we have used the homotopy perturbation method in order to find the analytical solutions of some linear and nonlinear parabolic differential equations. The method does not need linearization or weak nonlinearity assumptions. In this scheme, solution is calculatedin the form of a convergent power series with easily computable components.©2013 Hasan Bulut and Haci Mehmet Baskonus.