A new optimized two-step hybrid block method for the numerical integration of general
second-order initial value problems is presented. The method considers two intra-step …

A linear multistep method (LMM) with continuous coefficients is considered and directly
applied to solve second order initial value problems (IVPs). The continuous method is used …

A three-step seventh order hybrid linear multistep method (HLMM) with three non-step
points is proposed for the direct solution of the special second order initial value problems …

In this paper, we propose a linear multistep method of order 5 that is self-starting for the
direct solution of the general second-order initial value problem (IVP). The method is derived …

A one-step implicit hybrid block solution method for initial value problems of general second
order ordinary differential equations has been studied in this paper. The onestep method is …

A family of k-step block multistep methods where the main formulas are of Falkner type is
proposed for the direct integration of the general second order initial-value problem where …

This paper proposes a new hybrid block method of order five for solving second-order
ordinary differential equations directly. The method is developed using interpolation and …

By the use of the Chebyshev series, a direct computational method for solving the higher
order nonlinear differential equations has been developed in this paper. This method …

This manuscript presents a one-step method incorporating a second-derivative applied to
obtain approximate solutions of first-order initial-value problems of ordinary and time …

In this paper an eighth step block method has been developed to obtain the approximate
solution of an initial value problem involving fifth order ordinary differential equations. The …