Second derivative generalized backward differentiation formulae (SDGBDF) are developed
herein and applied as boundary value methods (BVMs) to solve stiff initial value problems …

Hybrid Boundary Value Methods (HyBVMs) are a new class of Boundary Value Methods
(BVMs) proposed recently for the approximation of Ordinary Differential Equations (ODEs) …

In this paper, we present a class of multistep methods for the numerical solution of stiff
ordinary differential equations. In these methods the first, second and third derivatives of the …

We present an Extended Continuous Block Backward Differentiation Formula (ECBBDF) of
order k+ 1 for the numerical solution of stiff ordinary differential equations. This is achieved …

This paper proposed a new alternative approach of the implicit diagonal block backward
differentiation formula (BBDF) to solve linear and nonlinear first-order stiff ordinary …

In this paper, we consider the development and implementation of algorithms for the solution
of stiff first order initial value problems. Method of interpolation and collocation of basis …

In this paper, we derived new hybrid linear multistep methods for the numerical integration of
stiff ordinary differential equations. The hybrid method is derived with the method of …

Abstract Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on
Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value …

Numerov method is a multistep numerical method that is used in solving second order
differential equations. In this work, we apply this method as a Boundary Value Method (BVM) …

The second derivative backward differentiation formulas (SDBDF) are well known for the
integration of stiff initial value problems. In this paper, a class of second derivative linear …