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An efficient algorithm for solving fifth-order boundary value problems. (English) Zbl 1133.65052
Summary: We apply the homotopy perturbation method for solving fifth-order boundary value problems. The analytical results of the equations 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.
MSC:
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
45F05Systems of nonsingular linear integral equations
65R20Integral equations (numerical methods)