An Effective Scheme for Solving a Class of Second-Order Two-Point Boundary Value Problems

A piecewise Adomian decomposition approach is presented in this work to handle a class of nonlinear two-point boundary value problems effectively. The suggested technique enables quick convergence and helps to overcome the limitations of the traditional Adomian decomposition method in instances where it fails to produce a reasonably decent approximate solution or when a significant number of iterations are necessary to get a convergent series solution. Three numerical examples are given to demonstrate the method's applicability and efficacy.