Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind
The aim of this paper is solving system of non-linear Volterra integral equations of the second kind (<strong>NSVIEK2</strong>) numerically using Predictor-Corrector methods (<strong>P-CM</strong>). Two multistep methods (Adams-Bashforth, Adams-Moulton). Convergence and stabi...
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| Format: | Article |
| Language: | English |
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Mosul University
2009-09-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_163825_589ee1e79735795d87f91ce21070868a.pdf |
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| author | Borhan Jumaa Abbas Taqi |
| author_facet | Borhan Jumaa Abbas Taqi |
| author_sort | Borhan Jumaa |
| collection | DOAJ |
| description | The aim of this paper is solving system of non-linear Volterra integral equations of the second kind (<strong>NSVIEK2</strong>) numerically using Predictor-Corrector methods (<strong>P-CM</strong>). 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. |
| format | Article |
| id | doaj-art-817a3a6ca20a46b0a9024b76ee488f21 |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2009-09-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-817a3a6ca20a46b0a9024b76ee488f212025-08-20T01:51:06ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902009-09-01639310910.33899/csmj.2009.163825163825Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second KindBorhan Jumaa0Abbas Taqi1College of Science University of Kirkuk, IraqCollege of Science University of Kirkuk, IraqThe aim of this paper is solving system of non-linear Volterra integral equations of the second kind (<strong>NSVIEK2</strong>) numerically using Predictor-Corrector methods (<strong>P-CM</strong>). 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://csmj.mosuljournals.com/article_163825_589ee1e79735795d87f91ce21070868a.pdfadams-bashforth methodadams-moulton methodrunge-kutta methodsystem of non-linear volterra integral equation |
| spellingShingle | Borhan Jumaa Abbas Taqi 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 adams-bashforth method adams-moulton method runge-kutta method system of non-linear volterra integral equation |
| title | Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind |
| title_full | Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind |
| title_fullStr | Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind |
| title_full_unstemmed | Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind |
| title_short | Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind |
| title_sort | using predictor corrector methods for numerical solution of system of non linear volterra integral equations of second kind |
| topic | adams-bashforth method adams-moulton method runge-kutta method system of non-linear volterra integral equation |
| url | https://csmj.mosuljournals.com/article_163825_589ee1e79735795d87f91ce21070868a.pdf |
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