Projection methods for integral equations in epidemic
In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic. The general theory of these equations is given and used in the projection methods. Projection methods lead to a system...
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Vilnius Gediminas Technical University
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doaj-e2d2b2f61a7c46a6ae5933c34a9e81442021-07-02T12:34:54ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102002-12-017210.3846/13926292.2002.9637195Projection methods for integral equations in epidemicL. Hacia0Institute of Mathematics , Poznan University of Technology , Piotrowo 3A, Poznan, 60–965, Poland In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic. The general theory of these equations is given and used in the projection methods. Projection methods lead to a system of algebraic equations or to a system of Volterra integral equations. The considered theory is illustrated by numerical examples. Projekciniai metodai integralinėms lygtims epidemiologijoje Santrauka Pateikiami skaitiniai metodai mišrioms integralinems lygtims. Nagrinejamos lygtys modeliuoja epidemiju dinamika erdveje ir laike. Apżvelgta tokiu lygčiu bendroji teorija, ji panaudota projekciniuose metoduose. Projekciniai metodai leidžia suvesti uždavini i algebriniu lygčiu sistema arba i Volteros integralines lygtis. Nagrinejami metodai iliustruojami skaitiniais pavyzdžiais. First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/9847Mathematical model of an epidemicspread of the diseasemixed integral equationsVolterra integral operatorprojection methodGalerkin type method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
L. Hacia |
spellingShingle |
L. Hacia Projection methods for integral equations in epidemic Mathematical Modelling and Analysis Mathematical model of an epidemic spread of the disease mixed integral equations Volterra integral operator projection method Galerkin type method |
author_facet |
L. Hacia |
author_sort |
L. Hacia |
title |
Projection methods for integral equations in epidemic |
title_short |
Projection methods for integral equations in epidemic |
title_full |
Projection methods for integral equations in epidemic |
title_fullStr |
Projection methods for integral equations in epidemic |
title_full_unstemmed |
Projection methods for integral equations in epidemic |
title_sort |
projection methods for integral equations in epidemic |
publisher |
Vilnius Gediminas Technical University |
series |
Mathematical Modelling and Analysis |
issn |
1392-6292 1648-3510 |
publishDate |
2002-12-01 |
description |
In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic. The general theory of these equations is given and used in the projection methods. Projection methods lead to a system of algebraic equations or to a system of Volterra integral equations. The considered theory is illustrated by numerical examples.
Projekciniai metodai integralinėms lygtims epidemiologijoje
Santrauka
Pateikiami skaitiniai metodai mišrioms integralinems lygtims. Nagrinejamos lygtys modeliuoja epidemiju dinamika erdveje ir laike. Apżvelgta tokiu lygčiu bendroji teorija, ji panaudota projekciniuose metoduose. Projekciniai metodai leidžia suvesti uždavini i algebriniu lygčiu sistema arba i Volteros integralines lygtis. Nagrinejami metodai iliustruojami skaitiniais pavyzdžiais.
First Published Online: 14 Oct 2010
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topic |
Mathematical model of an epidemic spread of the disease mixed integral equations Volterra integral operator projection method Galerkin type method |
url |
https://journals.vgtu.lt/index.php/MMA/article/view/9847 |
work_keys_str_mv |
AT lhacia projectionmethodsforintegralequationsinepidemic |
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1721330088937521152 |