Generalized second derivative linear multistep methods based on the methods of Enright

SE Ogunfeyitimi, MNO Ikhile - International Journal of Applied and …, 2020 - Springer
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 …

A class of hybrid linear multistep methods with A (ɑ)-stability properties for stiff IVPs in ODEs

RI Okuonghae, MNO Ikhile - Journal of Numerical Mathematics, 2013 - degruyter.com
∑ ∑ Page 1 J. Numer. Math., Vol. 21, No. 2, pp. 157–172 (2013) DOI 10.1515/jnum-2013-0006
c de Gruyter 2013 A class of hybrid linear multistep methods with A(α)-stability properties for …

Multi-block boundary value methods for ordinary differential and differential algebraic equations

SE Ogunfeyitimi, MNO Ikhile - Journal of the Korean Society for …, 2020 - koreascience.kr
In this paper, multi-block generalized backward differentiation methods for numerical
solutions of ordinary differential and differential algebraic equations are introduced. This …

On the construction of high order A(α)-stable hybrid linear multistep methods for stiff IVPs in ODEs

RI Okuonghae, MNO Ikhile - Numerical Analysis and Applications, 2012 - Springer
In this paper, we present a class of A (α)-stable hybrid linear multistep methods for numerical
solving stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The …

Second derivative general linear methods

RI Okuonghae, MNO Ikhile - Numerical Algorithms, 2014 - Springer
A class of second derivative Runge Kutta methods (SD-RKM) which has a simple
transformation to the general linear methods (GLM) are employed for the numerical …

A ()-Stable Linear Multistep Methods for Stiff IVPs in ODEs

RI Okuonghae, MNO Ikhile - Acta Universitatis Palackianae Olomucensis …, 2011 - dml.cz
In this paper, a class of A ($\alpha $)-stable linear multistep formulas for stiff initial value
problems (IVPs) in ordinary differential equations (ODEs) is developed. The boundary locus …

L(α)-stable variable-order implicit second derivative Runge-Kutta methods

RI Okuonghae, MNO Ikhile - Numerical Analysis and Applications, 2014 - Springer
This paper considers the extension of the popular Runge-Kutta methods (RKM) to second
derivative Runge-Kutta methods (SDRKMs) for the direct solution of stiff initial value …

[PDF][PDF] Modified second derivative backward differentiation formulas with recursively nested hybrid evaluations

PO Olatunji, MNO Ikhile - Journal of the Nigerian Association of …, 2017 - researchgate.net
A class of variable order second derivative backward differentiation formula with recursive
hybrid evaluation is presented. The modified second derivative backward differentiation …

A Continuous Formulation of A (α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs

RI Okuonghae, MNO Ikhile - Journal of Algorithms & …, 2012 - journals.sagepub.com
This paper considers family of A (α)-stable second derivative linear multistep methods of
order p= k+ 3 for step number k≥ 15 for the solution of stiff IVPs in ODEs. The methods are …

A-stable high order hybrid linear multistep methods for stiff problems

RI Okuonghae - Journal of Algorithms & Computational …, 2014 - journals.sagepub.com
A-Stable High Order Hybrid Linear Multistep Methods for Stiff Problems Page 1 Journal of
Algorithms & Computational Technology Vol. 8 No. 4 441 A-stable High Order Hybrid Linear …