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Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 8, Volume 6, Issue 3, 2009, Pages 93-109 PDF (469.29 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2009.163825 | ||
| Authors | ||
| Borhan F. Jumaa; Abbas H. Taqi | ||
| College of Science University of Kirkuk, Iraq | ||
| 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. | ||
| Keywords | ||
| Adams-Bashforth method; Adams-Moulton method; Runge-Kutta method; system of non-linear Volterra integral equation | ||
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