Singular problems with discontinuities or steep gradients challenge traditional numerical
integration methods. This study introduces the Rational Multi-Derivative Integrator (RMDI) …

In [1, 2], we considered an approach of global formulation of one-step integrators of arbitrary
order on a self-adjusting rational approximant by introducing the constants C (s) j, s= 1, 2 …

This paper considers extrapolation of rational methods for the numerical solution of initial
value problems (IVPs) in ordinary differential equations (ODEs). The extrapolation code …

In [1], 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 …

A general [L≥ 0, M≥ 0] one-step integrator is proposed for the solution of the initial value
problem in ordinary differential equations. It is general to the extent that the natural numbers …

In this paper, a new A-stable explicit one-step integration method is developed for
numerically solving stiff differential systems which characterize several kinds of linear …

In this research, we derive a rational integrator method of order 10 for the solution of
Ordinary Differential Equations (ODES), in line with the general representation given by …

In this paper, we compare the eighth order rational numerical integrator (RNI8) with
Adomian decomposition method by solving a linear stiff differential system. This paper …

In Ikhile (1998), a family of variable order inverse nonlinear rational methods for which the
inverse-Euler is a special case has been developed. This present consideration examines …

The Derivation and Implementation of Order 7 Rational Interpolation Scheme for Solving Initial
Value Problems in Ordinary Differ Page 1 American Journal of Sciences and Engineering …