A. Makroglou, EXTENDED BACKWARD DIFFERENTIATION METHODS IN THE NUMERICAL-SOLUTION OF NEUTRAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS, Nonlinear analysis, 30(3), 1997, pp. 1515-1525
The numerical solution of first order Volterra integro-differential eq
uations of neutral type with continuous kernel is considered. Prelimin
ary results from the application of extended backward differentiation
methods are given and comparisons are made with Adams-Bashforth / Adam
s-Moulton predictor-corrector methods and collocation methods.