Homotopy perturbation method for solving fourth-order boundary value problems
Summary: We apply the homotopy perturbation method for solving fourth-order boundary value problems. The analytical results of the boundary value problems are 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. The homotopy method can be considered an alternative method to the Adomian decomposition method and its variant forms.
scientific article; zbMATH DE number 5311255