2012Journal of Modern Methods in Numerical MathematicsRequires access

On The Stability of Continuous Block Backward Differentiation Formula For Solving Stiff Ordinary Differential Equations

O. A. Akinfenwa, S. N. Jator, Nianmin Yao

Open publisher page 9 citations

Abstract

This paper focuses on the stability regions of numerical methods and to demonstrate its suitability for the solution stiff ordinary differential equations. In particular, the purpose of this paper is to generate the stability region for methods of Continuous Block Backward Differentiation Formulae (CBBDF) that simultaneously generate the approximate solution of the stiff ODEs. The practical importance of the methods is established for the stability regions since it cover the whole of the negative half-complex plane.

About this research paper

What this paper is about

This paper focuses on the stability regions of numerical methods and to demonstrate its suitability for the solution stiff ordinary differential equations. In particular, the purpose of this paper is to generate the stability region for methods of Continuous Block Backward Differentiation Formulae (CBBDF) that simultaneously generate the approximate solution of the stiff ODEs. The practical importance of the methods is established for the stability regions since it cover the whole of the negative half-complex plane.

Why it matters

OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This paper focuses on the stability regions of numerical methods and to demonstrate its suitability for the solution stiff ordinary differential equations. In particular, the purpose of this paper is to generate the stability region for methods of Continuous Block Backward Differentiation Formulae (CBBDF) that simultaneously generate the approximate solution of the stiff ODEs. The practical importance of the methods is established for the stability regions since it cover the whole of the negative half-complex plane.

Key concepts: Backward differentiation formula, Ordinary differential equation, Ode, Stability (learning theory), L-stability, Mathematics, Block (permutation group theory), Cover (algebra)

Related papers

Back to paper searchBrowse research topicsOriginal source
On The Stability of Continuous Block Backward Differentiation Formula For Solving Stiff Ordinary Differential Equations — Research Paper | ScholarLens