Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations

Shifeng Wu and Siqing Gan

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 10, 3148-3159

Abstract: This paper is concerned with the error behaviour of linear multistep methods applied to singularly perturbed Volterra delay-integro-differential equations. We derive global error estimates of A(α)-stable linear multistep methods with convergent quadrature rule. Numerical experiments confirm our theoretical analysis.

Keywords: Singularly perturbed systems; Volterra delay-integro-differential equations; Linear multistep methods; Error analysis; Quadrature rule (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:10:p:3148-3159

DOI: 10.1016/j.matcom.2009.03.006

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