A novel computational approach to singular free boundary problems in ordinary differential equations

In the present paper, we consider an alternative numerical approach. We first transform the original problem into a special parameter dependent problem sometimes referred to as an 'eigenvalue problem'. By applying a smoothing variable transformation to the resulting equation, we obtain a new problem whose solution is smoother, and so the open domain Matlab collocation code bvpsuite[17] can be successfully applied for its numerical approximation.