A numerical method for a model of population dynamics with spatial diffusion

F. A. Milner

doi:10.1016/0898-1221(90)90135-7

A numerical method for a model of population dynamics with spatial diffusion

F. A. Milner

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We propose a procedure to approximate the solution of a degenerate parabolic equation describing the dynamics of a one-sex population with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elements in the spatial variables. Error estimates are derived for this approximation.

Original language	English (US)
Pages (from-to)	31-43
Number of pages	13
Journal	Computers and Mathematics with Applications
Volume	19
Issue number	4
DOIs	https://doi.org/10.1016/0898-1221(90)90135-7
State	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/0898-1221(90)90135-7

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title = "A numerical method for a model of population dynamics with spatial diffusion",

abstract = "We propose a procedure to approximate the solution of a degenerate parabolic equation describing the dynamics of a one-sex population with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elements in the spatial variables. Error estimates are derived for this approximation.",

author = "Milner, {F. A.}",

note = "Funding Information: Acknowledgement--Workp artially supported by NSF Grant No. DMS 8813258.",

year = "1990",

doi = "10.1016/0898-1221(90)90135-7",

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N1 - Funding Information: Acknowledgement--Workp artially supported by NSF Grant No. DMS 8813258.

PY - 1990

Y1 - 1990

N2 - We propose a procedure to approximate the solution of a degenerate parabolic equation describing the dynamics of a one-sex population with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elements in the spatial variables. Error estimates are derived for this approximation.

AB - We propose a procedure to approximate the solution of a degenerate parabolic equation describing the dynamics of a one-sex population with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elements in the spatial variables. Error estimates are derived for this approximation.

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U2 - 10.1016/0898-1221(90)90135-7

DO - 10.1016/0898-1221(90)90135-7

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AN - SCOPUS:0025257817

SN - 0898-1221

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EP - 43

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

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ER -

A numerical method for a model of population dynamics with spatial diffusion

Abstract

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