Class of k-step (k+2) order hybrid methods for solving problems of stiff ODEs

In this paper, a class of k-step, (k+2)-st order hybrid method for solving problems of stiff ODEs is constructed and its stability properties are discussed. The methods are proved to be A-stable for k = 1, 2 and stiffly stable for k = 4, ···, 8. In implementation by Newton iteration, our methods are more efficient for solving non-linear stiff problems. Finally, some numerical results are presented.