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.


65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
45F05 Systems of nonsingular linear integral equations
65R20 Numerical methods for integral equations
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