Mixed approximation of a population diffusion equation

M. Y. Kim, Eun-Jae Park

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A numerical method is proposed to approximate the solution of a nonlinear and nonlocal system of integro-differential equations describing age-dependent population dynamics with spatial diffusion. A finite difference method along the characteristic age-time direction combined with mixed finite elements in the spatial variable is used for the approximation. Optimal order error estimates are derived for the relevant variables. Using nonnegativity of the discrete solution, a stability of the method is also proved.

Original languageEnglish
Pages (from-to)23-33
Number of pages11
JournalComputers and Mathematics with Applications
Volume30
Issue number12
DOIs
Publication statusPublished - 1995 Jan 1

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Population dynamics
Integrodifferential equations
Finite difference method
Diffusion equation
Numerical methods
Nonnegativity
Mixed Finite Elements
Approximation
Population Dynamics
Integro-differential Equation
Difference Method
Error Estimates
Finite Difference
Numerical Methods
Dependent

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Cite this

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Mixed approximation of a population diffusion equation. / Kim, M. Y.; Park, Eun-Jae.

In: Computers and Mathematics with Applications, Vol. 30, No. 12, 01.01.1995, p. 23-33.

Research output: Contribution to journalArticle

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