Sesappa, Rai, A.Ananthakrishnaiah, U.2020-03-312020-03-311996Journal of Computational and Applied Mathematics, 1996, Vol.67, 2, pp.271-27610.1016/0377-0427(94)00127-8https://idr.nitk.ac.in/handle/123456789/9800In this paper numerical methods for the initial value problems of general second order differential equations are derived. The methods depend upon the parameters p and q which are the new additional values of the coefficients of y? and y in the given differential equation. Here, we report a new two step fourth order method. As p tends to zero and q ? (2?/h)2 the method is absolutely stable. Numerical results are presented for Bessel's, Legendre's and general second order differential equations.Article