American Institute of Mathematical Sciences

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November  2004, 4(4): 1203-1222. doi: 10.3934/dcdsb.2004.4.1203

Size-structured population dynamics models and their numerical solutions

L. M. Abia 1, , O. Angulo 2, and  J.C. López-Marcos 3,

1. 

Departamento de Matemática Aplicada y Computación, Universidad de Valladolid. Valladolid, Spain
2. 

Departamento de Matemática Aplicada a la Técnica, Universidad de Valladolid, Valladolid, Spain
3. 

Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain

Received  December 2002 Revised  January 2004 Published  August 2004

This paper presents a review of the numerical methods for the solution of the size-structured population balance models. The methods are compared with regards to accuracy, efficiency, generality and mathematical methodology.
Keywords: numerical methods, first-order nonlinear nonlocal hyperbolic equations, Size-structured population models, nonlinear nonlocal boundary condition..
Mathematics Subject Classification: 92D25, 92-08, 35L6.
Citation: L. M. Abia, O. Angulo, J.C. López-Marcos. Size-structured population dynamics models and their numerical solutions. Discrete & Continuous Dynamical Systems - B, 2004, 4 (4) : 1203-1222. doi: 10.3934/dcdsb.2004.4.1203
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