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 Marera, and Gregorio Rubio

 Department of Applied Mathematics, Polytechnical University of Valencia, P.O. Box 22012, Valencia, Spain
Received 2 December 1994; Revised 21 June 1995

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.