Abstract

Kap’s equation is a stiff initial value problem. This paper deals with the treatment of Kap’s equation using a class of 4th order explicit Runge–Kutta method. Numerical computation was carried out using Microsoft Visual C++. The results of the computation were found to be highly accurate and consistent with minima errors. A comparison of the results generated from the scheme was also carried out vis-a-vis some other conventional explicit Runge–Kutta formulae. The proposed class of method was found to compare favourably well.

Key words: Kap’s equation, stiffness, initial value problems, multiderivative explicit Runge-Kutta method, fourth-order method.