Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation
Descripción del Articulo
In the present work, the spectral differentiation method was studied to solve the scalar Burger’s partial differential equation. This equation has been of considerable physical interest as it can be regarded as a simplified version of the Navier-Stokes equations. Through this study, the sp...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2024 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | español |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/6157 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157 |
| Nivel de acceso: | acceso abierto |
| Materia: | Burger’s equation spectral differentiation mimetic method Ecuación de Burgers diferenciación espectral método mimético |
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Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s EquationMétodos de diferenciación espectral y mimético para la solución de la ecuación de Burgers escalarRodriguez-Chavez, Bertha K.Zarate-Pedrera, Yessica E.Burger’s equationspectral differentiationmimetic methodEcuación de Burgersdiferenciación espectralmétodo miméticoIn the present work, the spectral differentiation method was studied to solve the scalar Burger’s partial differential equation. This equation has been of considerable physical interest as it can be regarded as a simplified version of the Navier-Stokes equations. Through this study, the spectral differentiation method and its convergence were described; additionally, the mimetic method and the use of the MOLE library for numerically solving the scalar Burger’s equation were presented.En el presente trabajo se estudió el método de diferenciación espectral para resolver la ecuación diferencial parcial de Burgers escalar, esta ecuación ha sido de considerable interés físico debido a que puede considerarse como una versión simplificada de las ecuaciones de Navier Stokes. A través de este estudio se describió el método de diferenciación espectral y su convergencia; también se presentó el método mimético y el uso de la librería MOLE para resolver numéricamente la ecuación de Burgers escalar.National University of Trujillo - Academic Department of Mathematics2024-12-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157Selecciones Matemáticas; Vol. 11 No. 02 (2024): August - December; 259 - 270Selecciones Matemáticas; Vol. 11 Núm. 02 (2024): Agosto - Diciembre; 259 - 270Selecciones Matemáticas; v. 11 n. 02 (2024): Agosto - Dezembro; 259 - 2702411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157/6260https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/61572024-12-28T04:55:24Z |
| dc.title.none.fl_str_mv |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation Métodos de diferenciación espectral y mimético para la solución de la ecuación de Burgers escalar |
| title |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation |
| spellingShingle |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation Rodriguez-Chavez, Bertha K. Burger’s equation spectral differentiation mimetic method Ecuación de Burgers diferenciación espectral método mimético |
| title_short |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation |
| title_full |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation |
| title_fullStr |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation |
| title_full_unstemmed |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation |
| title_sort |
Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation |
| dc.creator.none.fl_str_mv |
Rodriguez-Chavez, Bertha K. Zarate-Pedrera, Yessica E. |
| author |
Rodriguez-Chavez, Bertha K. |
| author_facet |
Rodriguez-Chavez, Bertha K. Zarate-Pedrera, Yessica E. |
| author_role |
author |
| author2 |
Zarate-Pedrera, Yessica E. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Burger’s equation spectral differentiation mimetic method Ecuación de Burgers diferenciación espectral método mimético |
| topic |
Burger’s equation spectral differentiation mimetic method Ecuación de Burgers diferenciación espectral método mimético |
| description |
In the present work, the spectral differentiation method was studied to solve the scalar Burger’s partial differential equation. This equation has been of considerable physical interest as it can be regarded as a simplified version of the Navier-Stokes equations. Through this study, the spectral differentiation method and its convergence were described; additionally, the mimetic method and the use of the MOLE library for numerically solving the scalar Burger’s equation were presented. |
| publishDate |
2024 |
| dc.date.none.fl_str_mv |
2024-12-28 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157 |
| dc.language.none.fl_str_mv |
spa |
| language |
spa |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157/6260 |
| dc.rights.none.fl_str_mv |
https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
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https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 11 No. 02 (2024): August - December; 259 - 270 Selecciones Matemáticas; Vol. 11 Núm. 02 (2024): Agosto - Diciembre; 259 - 270 Selecciones Matemáticas; v. 11 n. 02 (2024): Agosto - Dezembro; 259 - 270 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
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Universidad Nacional de Trujillo |
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UNITRU |
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UNITRU |
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Revistas - Universidad Nacional de Trujillo |
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Revistas - Universidad Nacional de Trujillo |
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1847155319228071936 |
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13.140231 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
