Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A finite difference approximation for a nonlinear size-structured phytoplankton aggregation model

Authors: Azmy S. Ackleh and Robert R. Ferdinand
Journal: Quart. Appl. Math. 57 (1999), 501-520
MSC: Primary 92D25; Secondary 65M06, 92C37
DOI: https://doi.org/10.1090/qam/1704439
MathSciNet review: MR1704439
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Abstract: We consider a nonlinear model that describes the dynamics of a phytoplankton population with aggregation and competition between individual cells. A finite difference method is developed for approximating the solution of this partial differential equation. The convergence of this approximation to a unique bounded variation solution of the model is proved. Numerical results showing the accuracy of this scheme are presented.

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DOI: https://doi.org/10.1090/qam/1704439
Article copyright: © Copyright 1999 American Mathematical Society

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