The G-functions Series Method Adapted to the Numerical Integration of Parabolic PDE
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Campo DC | Valor | Idioma |
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dc.contributor | Modelización Matemática de Sistemas | es_ES |
dc.contributor.author | Cortés-Molina, Mónica | - |
dc.contributor.author | Reyes, José Antonio | - |
dc.contributor.author | García-Alonso, Fernando | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemática Aplicada | es_ES |
dc.date.accessioned | 2018-01-23T07:54:14Z | - |
dc.date.available | 2018-01-23T07:54:14Z | - |
dc.date.issued | 2018-01-18 | - |
dc.identifier.citation | Cortés-Molina, M., Reyes, J.A. and García-Alonso, F. (2018) The G-functions Series Method Adapted to the Numerical Integration of Parabolic PDE. Journal of Applied Mathematics and Physics, 6, 161-173. https://doi.org/10.4236/jamp.2018.61016 | es_ES |
dc.identifier.issn | 2327-4352 (Print) | - |
dc.identifier.issn | 2327-4379 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/72728 | - |
dc.description.abstract | The Method Of Lines (MOL) and Scheifele’s G-functions in the design of algorithms adapted for the numeric integration of parabolic Partial Differential Equations (PDE) in one space dimension are applied. The semi-discrete system of ordinary differential equations in the time direction, obtained by applying the MOL to PDE, is solved with the use of a method of Adapted Series, based on Scheifele’s G-functions. This method integrates exactly unperturbed linear systems of ordinary differential equations, with only one G-function. An implementation of this algorithm is used to approximate the solution of two test problems proposed by various authors. The results obtained by the Dufort-Frankel, Crank-Nicholson and the methods of Adapted Series versus the analytical solution, show the results of mistakes made. | es_ES |
dc.language | eng | es_ES |
dc.publisher | Scientific Research Publishing | es_ES |
dc.rights | © 2018 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ | es_ES |
dc.subject | Series Method | es_ES |
dc.subject | Numerical Solutions | es_ES |
dc.subject | Parabolic Initial-Boundary Value Problems | es_ES |
dc.subject | Method of Lines | es_ES |
dc.subject.other | Matemática Aplicada | es_ES |
dc.title | The G-functions Series Method Adapted to the Numerical Integration of Parabolic PDE | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.4236/jamp.2018.61016 | - |
dc.relation.publisherversion | http://dx.doi.org/10.4236/jamp.2018.61016 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
Aparece en las colecciones: | INV - MMS - Artículos de Revistas |
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