Solution of a broad Class Singular Boundary Value Problem by Variational Iteration Method

Abstract

In this paper an iterative method for finding a compatible solution to a class of singular second order differential equation of prescribed boundary values often observed common is considered by constructing a successive sequence of correction functional via variational theory. The analytical convergence of such iteratively generated sequential scheme is analyzed explicitly and duly discussed.  Interestingly, the proposed method when applied on, over hither to widely quote numerical problems turns out to be quite encouraging and renders appropriate solution. May sometimes by this method the limiting value of functional sequence happens to be an exact solution too.

Keywords; singular problem, Variational iteration method, Convergence, sequence, smooth function Lagrange multiplier, linearization, discretization, transformation.