ONE STEP COSINE-TAYLORLIKE METHOD FOR sol vING STIFF EQUATIONS

This paper discusses the derivation of an explicit Cosine-Taylorlike method for solving stiff ordinary differential equations. The formulation has resulted in the introduction of a new formula for the numerical solution of stiff ordinary differential equations. This new method needs an extra work in order to solve a number of differentiations of the function involved. However, the result produced is better than the results from the explicit classical fourth-order Runge-Kutta (RK4) and the implicit Adam-Bashforth-Moulton (ABM) methods. When compared with the previously derived Sine-Taylorlike method, the accuracy for both methods is almost equivalent.