Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation
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 di...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2024-12-01
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| Series: | Selecciones Matemáticas |
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| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157 |
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| author | Bertha K. Rodriguez-Chavez Yessica E. Zarate-Pedrera |
| author_facet | Bertha K. Rodriguez-Chavez Yessica E. Zarate-Pedrera |
| author_sort | Bertha K. Rodriguez-Chavez |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-d1d0334e764643b4b281b658bf2807e4 |
| institution | Kabale University |
| issn | 2411-1783 |
| language | Spanish |
| publishDate | 2024-12-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj-art-d1d0334e764643b4b281b658bf2807e42025-01-02T22:43:02ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832024-12-01110225927010.17268/sel.mat.2024.02.05Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s EquationBertha K. Rodriguez-Chavez0https://orcid.org/0000-0002-7703-5781Yessica E. Zarate-Pedrera1https://orcid.org/0000-0002-6093-3668Escuela de Matemáticas, Universidad Nacional de Trujillo, Trujillo, PerúDepartamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, PerúIn 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.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157burger’s equationspectral differentiationmimetic method |
| spellingShingle | Bertha K. Rodriguez-Chavez Yessica E. Zarate-Pedrera Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation Selecciones Matemáticas burger’s equation spectral differentiation mimetic method |
| title | 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_short | 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 |
| topic | burger’s equation spectral differentiation mimetic method |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6157 |
| work_keys_str_mv | AT berthakrodriguezchavez spectraldifferentiationandmimeticmethodsforsolvingthescalarburgersequation AT yessicaezaratepedrera spectraldifferentiationandmimeticmethodsforsolvingthescalarburgersequation |