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Homotopy perturbation method for solving fourth-order boundary value problems. (English) Zbl 1144.65311
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.
MSC:
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
65H20Global numerical methods for nonlinear algebraic equations, including homotopy approaches