Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations
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(alpha)-stable linear multistep methods with convergent quadrature rule. Numerical experiments confirm our theoretical analysis. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
linear multistep methods volterra delay-integro-differential equations quadrature rule singularly perturbed systems error analysis