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 …

The classical equation of Jonathan Homer Lane and Robert Emden, a nonlinear second-
order ordinary differential equation, models the isothermal spherical clouded gases under …

The aim of this paper is to derive a new family of multi-block boundary value methods based
on multi-block generalized Adams methods for numerical solution of stiff problems …

Abstract Two-step Runge–Kutta (TSRK) methods are Runge–Kutta methods that depend on
stage values at two consecutive steps. Second derivative Two-step Runge–Kutta (SD-TSRK) …

The interest in implicit-explicit (IMEX) integration methods has emerged as an alternative for
dealing in a computationally cost-effective way with stiff ordinary differential equations …

In this paper, multi-block generalized backward differentiation methods for numerical
solutions of ordinary differential and differential algebraic equations are introduced. This …

This paper introduces mono-implicit general linear methods, a special class of general
linear methods, which are implicit in the output solution for the numerical integration of …

ABSTRACT A family of A-stable generalized hybrid multistep methods that preserves the
equilibrium solution of ordinary differential equations is presented for the solution of stiff …

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 …

General linear methods (GLMs) was introduced as a generalization of Runge–Kutta
methods (RKMs) and linear multistep methods (LMMs). The discovery of general linear …