An Alternative Approach to Solutions of Nonlinear Two-Point Boundary Value Problems

Abstract

We treat variational iterative method as an alternative technique for solving nonlinear two-point boundary value problems without the need of establishing a variational formulation for the boundary value problems. This method is based on Lagrange multipliers for the identification of optimal values of parameters in a functional and produces a sequence which provides an approximation to the solution. The numerical results of the solved problems compared with the analytical solutions confirm the ability to produce good approximate results.