Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds
In this paper multistep methods for systems of coupled second order Volterra integro-differential equations are proposed. Stability and convergence properties are studied and an error bound for the discretization error is given.
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Format: | Article |
Language: | English |
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Wiley
1997-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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Online Access: | http://dx.doi.org/10.1155/S0161171297000197 |
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author | Lucas Jódar José Luis Marera Gregorio Rubio |
author_facet | Lucas Jódar José Luis Marera Gregorio Rubio |
author_sort | Lucas Jódar |
collection | DOAJ |
description | In this paper multistep methods for systems of coupled second order Volterra integro-differential
equations are proposed. Stability and convergence properties are studied and an error bound
for the discretization error is given. |
format | Article |
id | doaj-art-c3ad8d36adbe4f9a80f6e0db998b2482 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1997-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-c3ad8d36adbe4f9a80f6e0db998b24822025-02-03T01:26:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120112713510.1155/S0161171297000197Multistep methods for coupled second order integro-differential equations: stability, convergence and error boundsLucas Jódar0José Luis Marera1Gregorio Rubio2Department of Applied Mathematics, Polytechnical University of Valencia, P.O. Box 22012, Valencia, SpainDepartment of Applied Mathematics, Polytechnical University of Valencia, P.O. Box 22012, Valencia, SpainDepartment of Applied Mathematics, Polytechnical University of Valencia, P.O. Box 22012, Valencia, SpainIn this paper multistep methods for systems of coupled second order Volterra integro-differential equations are proposed. Stability and convergence properties are studied and an error bound for the discretization error is given.http://dx.doi.org/10.1155/S0161171297000197multistep methodsconvergencestabililityerror bounds. |
spellingShingle | Lucas Jódar José Luis Marera Gregorio Rubio Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds International Journal of Mathematics and Mathematical Sciences multistep methods convergence stabilility error bounds. |
title | Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds |
title_full | Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds |
title_fullStr | Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds |
title_full_unstemmed | Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds |
title_short | Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds |
title_sort | multistep methods for coupled second order integro differential equations stability convergence and error bounds |
topic | multistep methods convergence stabilility error bounds. |
url | http://dx.doi.org/10.1155/S0161171297000197 |
work_keys_str_mv | AT lucasjodar multistepmethodsforcoupledsecondorderintegrodifferentialequationsstabilityconvergenceanderrorbounds AT joseluismarera multistepmethodsforcoupledsecondorderintegrodifferentialequationsstabilityconvergenceanderrorbounds AT gregoriorubio multistepmethodsforcoupledsecondorderintegrodifferentialequationsstabilityconvergenceanderrorbounds |