Review Paper on the Runge-Kutta Methods to Study Numerical Solutions of Initial Value Problems in Ordinary Differential Equations

The main purpose of this article is to review the work on Runge-Kutta Methods to study on Numerical Solutions of Initial Value Problems in Ordinary Differential Equations during the period 1983 to2020.The required material from 1983 to 1996 pertaining to this research article has been taken freely from Hull et al. with gratitude and sincere acknowledgment. The status on this subject from 1983 to 2020 has been compiled by the present authors for the convenience of the new researchers entering in this field.