Trigonometric-fitted hybrid four-step methods of sixth order for solving y ''(x)=f(x,y)

摘要

A two-stage, explicit, hybrid four-step method of sixth order for the solution of the special second order initial value problem is presented here. The new method is trigonometric fitted, thus it uses variable coefficients. Numerical tests illustrate the superiority of our proposal over similar methods found in the relevant literature on a set of standard problems.