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Variational iteration technique for solving higher order boundary value problems. (English) Zbl 1122.65374
Summary: We show that higher order boundary value problems can be written as a system of integral equations, which can be solved by using the variational iteration technique. The analytical results of the equations obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the method. Comparisons are made to confirm the reliability of the technique. The variational iteration technique may be considered as alternative and efficient for finding the approximate solutions of boundary values problems.
MSC:
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE