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 a novel approach for solving first‐order stiff initial value problems
through the development of a one‐step family of three optimized second‐derivative hybrid …

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 …

In this paper, a generalized Cash-type second derivative extended backward differentiation
formulas (GCE2BD) is developed as boundary value methods (BVMs) for the numerical …

A class of high-order continuous extended linear multistep methods (HOCELMs) is
proposed for solving systems of ordinary differential equations (ODEs). These continuous …

Abstract An A-stable Two Derivative Mono Implicit Runge-Kutta (ATDMIRK) method is
considered herein for the numerical solution of initial value problems (IVPs) in ordinary …

A class of third derivative generalized Enright-type methods (TDGEMs) is derived. This class
of methods is an extension of the GSDLMME from Ogunfeyitimi and Ikhile and a …