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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Format: | Article |
Language: | English |
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Wiley
2015-01-01
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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 |
id | doaj-art-2797d6cdb10e4b5fa231545d614283df |
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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