Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 98602, 15 pages
doi:10.1155/2007/98602
Abstract
We apply the homotopy perturbation method for solving the
fourth-order boundary value problems. The analytical results of the boundary value
problems have been obtained in terms of convergent series with easily computable
components. Several examples are given to illustrate the efficiency and implementation of
the homotopy perturbation method. Comparisons are made to confirm the reliability of the
method. Homotopy method can be considered an alternative method to Adomian
decomposition method and its variant forms.