A Box Method for a Nonlinear Equation of Population Dynamics

1 October 1991

journal article
Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis

Vol. 11 (4) , 525-538
https://doi.org/10.1093/imanum/11.4.525

Abstract

We analyse a box method for a nonlinear integro-differential equation with a nonlocal boundary condition. The problem considered describes the evolution in time of the age structure of a population. We study the consistency, stability, and convergence properties of the scheme and show that it is second-order accurate. This analysis is carried out employing an abstract theory of discretizations.

Keywords

NONLINEAR EQUATION
POPULATION DYNAMIC
CONVERGENCE
BOUNDARY CONDITION
DISCRETIZATION
POPULATION DYNAMICS
DISCRETISATION

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