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

Authors:
Shifeng Wu;Siqing Gan
Affiliations:
Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China;School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075, China
Venue:
Mathematics and Computers in Simulation
Year:
2009

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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(@a)-stable linear multistep methods with convergent quadrature rule. Numerical experiments confirm our theoretical analysis.