The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models

In this paper, the variational iteration method (VIM) is used to study a nonlinear singular boundary value problems arising in various physical equations. The VIM overcomes the singularity issue at the origin x = 0. The Lagrange multipliers for all four cases of the boundary value problems are formally derived. The variational iteration method is tested for its efficiency and reliability.

► We study Emden–Fowler boundary value problem.
► We use the variational iteration method to overcome the singularity behavior.
► We derive Lagrange multipliers for all possible cases.
► Increasing the value of the parameter increases the value of the solution.