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

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.

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Main Authors: O. Angulo, J. C. López-Marcos, M. A. López-Marcos
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/549168
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author O. Angulo
J. C. López-Marcos
M. A. López-Marcos
author_facet O. Angulo
J. C. López-Marcos
M. A. López-Marcos
author_sort O. Angulo
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-2797d6cdb10e4b5fa231545d614283df2025-02-03T06:07:10ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/549168549168A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population ModelO. Angulo0J. C. López-Marcos1M. A. López-Marcos2Departamento de Matemática Aplicada, ETSIT, Universidad de Valladolid, Paseo de Belén 15, 47011 Valladolid, SpainDepartamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Paseo de Belén 7, 47011 Valladolid, SpainDepartamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Paseo de Belén 7, 47011 Valladolid, SpainWe 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.http://dx.doi.org/10.1155/2015/549168
spellingShingle O. Angulo
J. C. López-Marcos
M. A. López-Marcos
A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model
Abstract and Applied Analysis
title A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model
title_full A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model
title_fullStr A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model
title_full_unstemmed A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model
title_short A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model
title_sort second order method for the numerical integration of a size structured cell population model
url http://dx.doi.org/10.1155/2015/549168
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