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Application of He’s variational iteration method to solve semidifferential equations of $$n$$th order. (English) Zbl 1155.65380
Summary: He’s variational iteration method is applied to solve $$n$$th order semidifferential equations. Comparison is made between collocation spline method based on Lagrange interpolation and the present method. In this method, the solution is calculated in the form of a convergent series with easily computable components. This approach does not need linearization, weak nonlinearity assumptions, or perturbation theory. Some examples are given to illustrate the effectiveness of the method; the results show that He’s method provides a straightforward and powerful mathematical tool for solving various semidifferential equations of the $$n$$th order.

##### MSC:
 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 35R10 Functional partial differential equations
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##### References:
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