We consider direct solution to third order ordinary differential equations in this paper.
Method of collection and interpolation of the power series approximant of single variable is …

Inverse linear multistep methods (ILMMs) for first and second order differential equations
have been proved to be suitable numerical methods for the solution of inverse initial value …

A numerical method had been proposed in this work for directly solving second-order initial
and boundary value problems in ordinary differential equations. The approach of collocation …

The idea of symmetric super-implicit linear multi-step methods (SSILMMs) necessitates the
use of not just past and present solution values of the ordinary differential equations (ODEs) …

In the present paper, we formulate a generalized family of symmetric multistep methods
(GFSMMs) for solving initial value problems in ordinary differential equations. Future …

We consider direct solution to third order ordinary differential equations in this paper.
Collocation and interpolation approach was adopted to generate a continuous hybrid …

Symmetric super-implicit (SSI) formulas for the numerical solution of the special second-
order ordinary differential equations (ODEs) have been a focus of attention in the last …

In this paper, we derive a class of new hybrid linear multistep methods (HLMMs) for the
numerical solution of second order initial value problems (IVPs) in ordinary differential …

In this paper, self-starting block hybrid method of order (5, 5, 5, 5) T is proposed for the
solution of the special second order ordinary differential equations of the form with …

Two fifth-order explicit hybrid methods are developed. Based on these methods, phase fitted
and amplification fitted methods are constructed by vanishing both the phase-lag and the …