Solving SIVPs of Lane–Emden–Fowler Type Using a Pair of Optimized Nyström Methods with a Variable Step Size

This research article introduces an efficient method for integrating Lane–Emden–Fowler equations of second-order singular initial value problems (SIVPs) using a pair hybrid block methods with variable step-size mode. The pairs optimized Nyström technique set formulas applied at the step to circumvent singularity beginning interval. formulation is implemented embedded-type approach, resulting in that outperforms its counterpart used fixed implementation. numerical simulations confirm better performance