International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 127-135
doi:10.1155/S0161171297000197

Multistep methods for coupled second order integro-differential equations: Stability, convergence and error bounds

Lucas Jódar , José Luis Morera and Gregorio Rubio

Department of Applied Mathematics, Polytechnical University of Valencia, P.O. Box 22012, Valencia, Spain

Abstract

In this paper multistep methods for systems of coupled second order Volterra integro-differential equations are proposed. Stability and convergence properties are studied and an error bound for the discretization error is given.