Variational Iteration Method for Solving Eighth-Order Boundary Value Problems

Sanoe Koonprasert, Montri Torvattanabun

Abstract

The variational iteration method (VIM), which is a powerful tool, is applied to numerical solution of eighth-order boundary value problems. The VIM usually gives a solution in the form of a rapidly convergent series of a correction functional. The correction functional is constructed by using generalized Lagrange multipliers and the calculus of variations. Analytical results are given for several examples to illustrate the implementation and efficiency of the method. A comparison of the results obtained by the present method with results obtained by the modified decomposition method and the homotopy perturbation method reveals that the present method is very effective and convenient.