Implicit one-step L-stable generalized hybrid methods for the numerical solution of first order initial value problems

In this paper, we introduce the new class of implicit l-stable generalized hybrid methods forthe numerical solution of first order initial value problems. we generalize the hybrid methodswith utilize yn?v directly in the right hand side of classical hybrid methods. the numericalexperimentation showed that our method is considerably more efficient compared to wellknown methods used for the numerical solution of stiff first order initial value problems.