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) …

We introduce a class of methods for the numerical solution of ordinary differential equations.
These methods called as two-derivative two-step Runge–Kutta methods are extension of the …

In this paper, a new class of two‐derivative two‐step Runge‐Kutta (TDTSRK) methods for
the numerical solution of non‐stiff initial value problems (IVPs) in ordinary differential …

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 …

This paper considers multi-derivative general linear methods and thus presents some
second and third derivative general linear methods of orders 5, 7 and 10 in its output …

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 …

An extended Mono Implicit Runge-kutta (EMIRK) method is considered herein for the
numerical solution of stiff initial value problems (IVPs) in ordinary differential equation …

A family of nested second derivative general linear methods (NSDGLMs) which combines
the advantages of linear multistep methods and Runge–Kutta methods is presented. The …

In this paper, a family of high order Obreshkov hybrid formulas are proposed for the
numerical solution of first order initial value problems (IVPs) in ordinary differential equations …

Second-order initial value problems (IVPs) in ordinary differential equations (ODEs) are
ubiquitous in various fields, including physics, engineering, and economics. However, their …