The Modified VIM for Certain Type of the Nonlinear Two-Point Boundary Value Problems

Abstract

In the current paper, we introduce a different version of the variational iteration method (VIM) that provide an easy and effective procedure for solving nonlinear two-point boundary-value problems appearing in applied and engineering applications. For problems where convergence rate of the original VIM is slow, the method can be readily improved to increase convergence rate. Convergence analysis and error bounds are discussed. Finally, applicability of the proposed method and accuracy are examined by solving three problems.