Solution of seventh order boundary value problems by variational iteration technique. (English) Zbl 1262.65096

Summary: It has been shown that seventh-order boundary value problem can be transformed into a system of integral equations, which can be solved by variational iteration technique. It is to be mentioned that, presently, the literature on the numerical solutions of seventh order boundary value problems and associated eigen value problems is not available. The approximate results of the equations are obtained in terms of convergent series with computable components. Two numerical examples have been given to illustrate the efficiency and implementation of the method.


65L99 Numerical methods for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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