Projection methods for integral equations in epidemic

    L. Hacia Info

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 method

How to Cite

Hacia, L. (2002). Projection methods for integral equations in epidemic. Mathematical Modelling and Analysis, 7(2), 229-240. https://doi.org/10.3846/13926292.2002.9637195

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December 15, 2002
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2002-12-15

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How to Cite

Hacia, L. (2002). Projection methods for integral equations in epidemic. Mathematical Modelling and Analysis, 7(2), 229-240. https://doi.org/10.3846/13926292.2002.9637195

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