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2012•Numerical Analysis and ApplicationsRequires access

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

R. I. Okuonghae, M. N. O. Ikhile

Open publisher page 17 citations

Abstract

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 method considered uses a second derivative like the Enright’s second derivative linear multistep methods for stiff IVPs in ODEs.

About this research paper

What this paper is about

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 method considered uses a second derivative like the Enright’s second derivative linear multistep methods for stiff IVPs in ODEs.

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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 method considered uses a second derivative like the Enright’s second derivative linear multistep methods for stiff IVPs in ODEs.

Key concepts: Ode, Linear multistep method, Mathematics, Numerical analysis, Applied mathematics, Ordinary differential equation, Order (exchange), Initial value problem

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