Characteristic finite element methods for diffusion epidemic models with age-structured populations

Mi Young Kim, Eun-Jae Park

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A numerical approximation is considered for a model of epidemiology describing age-dependent population dynamics with spatial diffusion. A finite difference method along the characteristic age-time direction is combined with finite elements in the spatial variable. Optimal order error estimates are derived for the approximation.

Original languageEnglish
Pages (from-to)55-70
Number of pages16
JournalApplied Mathematics and Computation
Volume97
Issue number1
DOIs
Publication statusPublished - 1998 Jan 1

Fingerprint

Age-structured Population
Characteristics Method
Epidemiology
Population dynamics
Epidemic Model
Diffusion Model
Finite difference method
Finite Element Method
Finite element method
Population Dynamics
Numerical Approximation
Difference Method
Error Estimates
Finite Difference
Finite Element
Dependent
Approximation
Model

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

@article{44401c642d81466595f1438b0eb8e5c0,
title = "Characteristic finite element methods for diffusion epidemic models with age-structured populations",
abstract = "A numerical approximation is considered for a model of epidemiology describing age-dependent population dynamics with spatial diffusion. A finite difference method along the characteristic age-time direction is combined with finite elements in the spatial variable. Optimal order error estimates are derived for the approximation.",
author = "Kim, {Mi Young} and Eun-Jae Park",
year = "1998",
month = "1",
day = "1",
doi = "10.1016/S0096-3003(97)10164-3",
language = "English",
volume = "97",
pages = "55--70",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier Inc.",
number = "1",

}

Characteristic finite element methods for diffusion epidemic models with age-structured populations. / Kim, Mi Young; Park, Eun-Jae.

In: Applied Mathematics and Computation, Vol. 97, No. 1, 01.01.1998, p. 55-70.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Characteristic finite element methods for diffusion epidemic models with age-structured populations

AU - Kim, Mi Young

AU - Park, Eun-Jae

PY - 1998/1/1

Y1 - 1998/1/1

N2 - A numerical approximation is considered for a model of epidemiology describing age-dependent population dynamics with spatial diffusion. A finite difference method along the characteristic age-time direction is combined with finite elements in the spatial variable. Optimal order error estimates are derived for the approximation.

AB - A numerical approximation is considered for a model of epidemiology describing age-dependent population dynamics with spatial diffusion. A finite difference method along the characteristic age-time direction is combined with finite elements in the spatial variable. Optimal order error estimates are derived for the approximation.

UR - http://www.scopus.com/inward/record.url?scp=23644450926&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23644450926&partnerID=8YFLogxK

U2 - 10.1016/S0096-3003(97)10164-3

DO - 10.1016/S0096-3003(97)10164-3

M3 - Article

AN - SCOPUS:23644450926

VL - 97

SP - 55

EP - 70

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 1

ER -