Nyström methods and singular second-order differential equations

Chawla, Jain and Subramanian studied the application of Nyström methods to a class of singular initial value problems. Following their approach, we generalize this class by applying the Nyström method to the initial value problem for an equation of the form where p has a certain specified type of singularity and q is sufficiently differentiable, and then we determine the order of convergence. This is followed by computational evidence.