Stability of finite difference schemes for certain problems in biology

DOI10.4064/AM31-1-3zbMath1060.65099OpenAlexW1984149843MaRDI QIDQ4829402

Piotr Zwierkowski, Henryk Leszczyński

Publication date: 29 November 2004

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am31-1-3

zbMATH Keywords

stabilitynumerical examplesinitial value problempopulation dynamicsfinite difference schemesvon Foerster equationconsistency, trapezoidal ruleforward and backward quotients

Mathematics Subject Classification ID

Population dynamics (general) (92D25) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Convergence of a finite difference scheme for von Foerster equation with functional dependence

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