MULTISTEP COLLOCATION METHOD FOR NONLINEAR DELAY INTEGRAL EQUATIONS

The main purpose of this paper is to study the numer-ical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method. These meth-ods for approximating the solution in each subinterval are obtained by xed number of previous steps and xed number of colloca-tion points in current and next subintervals. Also, we analyze the convergence of the multistep collocation method when used to ap-proximate smooth solutions of delay integral equations. Finally, numerical results are given showing a marked improvement in com- parison with exact solution.