2014•American Journal of Computational and Applied MathematicsOpen access

A Family of L(α) − stable Block Methods for Stiff Ordinary Differential Equations

I. J. Ajie, M. N. O. Ikhile, P. Onumanyi

Abstract

A family of self-starting L(α)-stable linear multistep block methods (LMBMs) for solving stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is proposed. The constructions are done by pairing three-step Top Order Method (TOM) and k-step Backward Differentiation Formulas (BDF) and using the shifting techniques introduced by Ajie et al (2011). The performance of the resultant block methods on the numerical examples considered shows their effectiveness. Keywords Top Order Method (TOM), Backward Differentiation Formulas (BDF), L(α) − stable, A(α) − stable, Linear multistep block methods (LMBMs)

About this research paper

What this paper is about

Why it matters

OpenAlex reports 1 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

Key concepts: Linear multistep method, Backward differentiation formula, Mathematics, Ordinary differential equation, Ode, Block (permutation group theory), Runge–Kutta methods, Stability (learning theory)