2010Journal of Shanghai Normal UniversityRequires access

Stability of two-step Runge-Kutta methods for neutral delay-integro-differential-algebraic equations

Jianjun Li

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Abstract

This paper develops the two-step Runge-Kutta methods for neutral delay integro differential-algebraic equations.Under some conditions,we prove that every A-stable two-step Runge-Kutta methods is asymptotically stable for linear neutral delay integro differential-algebraic equations.

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What this paper is about

This paper develops the two-step Runge-Kutta methods for neutral delay integro differential-algebraic equations.Under some conditions,we prove that every A-stable two-step Runge-Kutta methods is asymptotically stable for linear neutral delay integro differential-algebraic equations.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper develops the two-step Runge-Kutta methods for neutral delay integro differential-algebraic equations.Under some conditions,we prove that every A-stable two-step Runge-Kutta methods is asymptotically stable for linear neutral delay integro differential-algebraic equations.

Key concepts: Runge–Kutta methods, Algebraic number, Mathematics, Differential equation, Differential (mechanical device), Algebraic equation, Stability (learning theory), Differential algebraic equation

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