… one-step integrators of arbitrary order on a self-adjusting rational approximant by introducing
the constants … we motivate a study of this approach to derive a class of one-step methods of …

… [l], we derived variable order, variable stepsize, one-step nonlinear methods in which global
formulation is facilitated by defining some certain coefficients. The analysis has a broader …

… We provide a technique for the global formulation of the class of rational schemes by
defining some certain coefficients C} i), j - i > 0, j = 1(1)p, i = 1(1)p - 1, where p is the order of the …

… , he too is interested primarily in one-step formulas. On the other hand… Introduce the new
coefficients Cs+l 1, as+l,j … behaviour if its stepsize selection scheme is not suitably constrained. …

… The stability of the new scheme is also analyzed. We compared … the phase lag, we study
the following general four-step method: … Computation of the phase lag based on the coefficient …

… on rational interpolating functions. On the other hand, the rational interpolation schemes …
are first compared with those of Non-linear One-Step methods for initial value problems of [7] …

… of the ivp (1.1) are the poles of the rational interpolant. Some … The resultant class of one-step
rational schemes from (2.1) is … the recursive computation of the coefficients @, are found in …

… Van Nierkerk's [2] rational one-step method with the linear … This scheme is a class of k-step
formula of order k. In practice … the new constant as all constants previously obtained stays …

… We present a frame work for studying the … one-step methods by introduction of some
coefficients {C(,''), i = 1,2.. . .,p - 1; j = 2,3,. . .,p; j - i > 0 where p is the order of the resultant scheme. …

… The convetional one-step scheme is given by: … The use of rational functions as aproximants
has been studied by many … ), Coefficients for studying one-step rational schemes for IVPs in …