The Adams-type second derivative multistep methods of WH Enright is generalized to a
class of boundary value methods for the numerical solution of initial value problems in …

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 …

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 …

The general second derivative extended linear multistep formula (SDELMF) is modified and
generalized to suitably and easily handle the difficulties associated with solving stiff systems …

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 …

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 …