Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind

Section: Research Paper
Issue
Vol. 6 No. 3 (2009): Volume 6 Issue 3
Pages
93-109

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

Authors

Borhan F. Jumaa

College of Science University of Kirkuk, Iraq

Abbas H. Taqi

College of Science University of Kirkuk, Iraq

Identifiers

DOI: 10.33899/csmj.2009.163825

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Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind. (2009). AL-Rafidain Journal of Computer Sciences and Mathematics, 6(3), 93-109. https://doi.org/10.33899/csmj.2009.163825
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How to Cite

Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind. (2009). AL-Rafidain Journal of Computer Sciences and Mathematics, 6(3), 93-109. https://doi.org/10.33899/csmj.2009.163825