We introduce a novel, time-efficient adaptive Runge-Kutta computational scheme tailored for
systematically solving linear and nonlinear Volterra-type Integro-Differential Equations …

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 …

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 …

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 …

In order to understand the different performances of robots under different control systems,
the author has carried out dynamic optimization research on the control system of robots …

Circumventing order restrictions on numerical methods designed for the integration of stiff
initial value problem is the concern here via Boundary Value Method. The attainable order …

In this article, multi-block boundary value methods suitable for solving stiff systems of initial
value problems (IVPs) are considered. This method is based on multi-block initial value …

In this paper, we present a new family of multi-block boundary value integration methods
based on the Enright second derivative type-methods for differential equations. We …