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Abstract and Applied Analysis
Volume 2015, Article ID 549168, 8 pages
Research Article

A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model

1Departamento de Matemática Aplicada, ETSIT, Universidad de Valladolid, Paseo de Belén 15, 47011 Valladolid, Spain
2Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Paseo de Belén 7, 47011 Valladolid, Spain

Received 30 December 2014; Revised 27 March 2015; Accepted 6 April 2015

Academic Editor: Francisco Solis

Copyright © 2015 O. Angulo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the numerical integration of a size-structured cell population model. We propose a new second-order numerical method to attain its solution. The scheme is analyzed and the optimal rate of convergence is derived. We show experimentally the predicted accuracy of the scheme.