Projection methods for integral equations in epidemic
Abstract
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 integralinėms lygtims. Nagrinėjamos lygtys modeliuoja epidemijų dinamiką erdvėje ir laike. Apžvelgta tokių lygčių bendroji teorija, ji panaudota projekciniuose metoduose. Projekciniai metodai leidžia suvesti uždavinį į algebrinių lygčių sistemą arba į Volteros integralines lygtis. Nagrinėjami metodai iliustruojami skaitiniais pavyzdžiais.
First Published Online: 14 Oct 2010
Keywords:
Mathematical model of an epidemic, spread of the disease, mixed integral equations, Volterra integral operator, projection method, Galerkin type methodHow to Cite
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Copyright (c) 2002 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2002 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.