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

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.

References

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