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Keywords

Adams-Bashforth method
Adams-Moulton method
Runge-Kutta method
system of non-linear Volterra integral equation

Abstract

The aim of this paper is solving system of non-linear Volterra integral equations of the second kind (NSVIEK2) numerically using Predictor-Corrector methods (P-CM). Two multistep methods (Adams-Bashforth, Adams-Moulton). Convergence and stability of the methods are proved and some examples are presented to illustrate the methods. Programs are written in matlab program version 7.0.  
https://doi.org/10.33899/csmj.2009.163825
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