In 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 ≥ (2π/h)2 the method is absolutely stable. Numerical results are presented for Bessel's, Legendre's and general second order differential equations.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics