Application of He's Variational Iteration Method to Solve Semidifferential Equations of nth Order

Abstract EN

He's variational iteration method is applied to solve nth 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 an easily computable component.

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 nth order.