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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Main Authors: Lucas Jódar, José Luis Marera, Gregorio Rubio
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
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