چكيده فارسي :
In this paper, a class of new one-step, implicit, L-stable hybrid
Obrechkoff methods for the numerical solving of first order initial value
problems are presented. In this methods, both classes of Obrechkoff and
hybrid methods for solving IVP’s are used and derived the new class of
hybrid Obrechkoff methods. The numerical results obtained by the new
method for some problems show the superiority in efficiency, accuracy and
stability.