Numerical analysis of a cell dwarfism model.
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| Title: | Numerical analysis of a cell dwarfism model. |
|---|---|
| Authors: | Abia, L.M.1 abia@mac.uva.es, Angulo, O.2 oscar@mat.uva.es, López-Marcos, J.C.1 lopezmar@mac.uva.es, López-Marcos, M.A.1 malm@mac.uva.es |
| Source: | Journal of Computational & Applied Mathematics. Mar2019, Vol. 349, p82-92. 11p. |
| Subjects: | Partial differential equations, Thalassemia, Stochastic convergence, Initial value problems, Numerical analysis |
| Abstract: | Abstract In this work, we study numerically a model which describes cell dwarfism. It consists in a pure initial value problem for a first order partial differential equation, that can be applied to the description of the evolution of diseases as thalassemia. We design two numerical methods that prevent the use of the characteristic curve x = 0 , and derive their optimal rates of convergence. Numerical experiments are also reported in order to demonstrate the predicted accuracy of the schemes. Finally, a comparison study on their efficiency is presented. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 133478325 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Numerical analysis of a cell dwarfism model. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Abia%2C+L%2EM%2E%22">Abia, L.M.</searchLink><relatesTo>1</relatesTo><i> abia@mac.uva.es</i><br /><searchLink fieldCode="AR" term="%22Angulo%2C+O%2E%22">Angulo, O.</searchLink><relatesTo>2</relatesTo><i> oscar@mat.uva.es</i><br /><searchLink fieldCode="AR" term="%22López-Marcos%2C+J%2EC%2E%22">López-Marcos, J.C.</searchLink><relatesTo>1</relatesTo><i> lopezmar@mac.uva.es</i><br /><searchLink fieldCode="AR" term="%22López-Marcos%2C+M%2EA%2E%22">López-Marcos, M.A.</searchLink><relatesTo>1</relatesTo><i> malm@mac.uva.es</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. Mar2019, Vol. 349, p82-92. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Thalassemia%22">Thalassemia</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+convergence%22">Stochastic convergence</searchLink><br /><searchLink fieldCode="DE" term="%22Initial+value+problems%22">Initial value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract In this work, we study numerically a model which describes cell dwarfism. It consists in a pure initial value problem for a first order partial differential equation, that can be applied to the description of the evolution of diseases as thalassemia. We design two numerical methods that prevent the use of the characteristic curve x = 0 , and derive their optimal rates of convergence. Numerical experiments are also reported in order to demonstrate the predicted accuracy of the schemes. Finally, a comparison study on their efficiency is presented. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.cam.2018.09.038 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 82 Subjects: – SubjectFull: Partial differential equations Type: general – SubjectFull: Thalassemia Type: general – SubjectFull: Stochastic convergence Type: general – SubjectFull: Initial value problems Type: general – SubjectFull: Numerical analysis Type: general Titles: – TitleFull: Numerical analysis of a cell dwarfism model. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Abia, L.M. – PersonEntity: Name: NameFull: Angulo, O. – PersonEntity: Name: NameFull: López-Marcos, J.C. – PersonEntity: Name: NameFull: López-Marcos, M.A. IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 03 Text: Mar2019 Type: published Y: 2019 Identifiers: – Type: issn-print Value: 03770427 Numbering: – Type: volume Value: 349 Titles: – TitleFull: Journal of Computational & Applied Mathematics Type: main |
| ResultId | 1 |
