Numerical Simulation by High-Order Explicit Finite Difference Method to Solve the Burgers Equation (2019)
- Authors:
- USP affiliated authors: ROMÃO, ESTANER CLARO - EEL ; ASSIS, LETÍCIA HELENA PAULINO DE - EEL
- Unidade: EEL
- DOI: 10.17706/ijapm.2019.9.3.135-143
- Assunto: MATEMÁTICA
- Keywords: Burgers equation; numerical simulation; numerical efficiency; transient state; explicit finite difference
- Agências de fomento:
- Language: Inglês
- Abstract: This paper aims to apply the High Order Explicit Finite Difference Method to solve the famous Nonlinear 1D Burgers Equation in many orders in time (first, second, third and fourth), changing the order on space twice (second and fourth). Thereby, it was compared the results and it was found the best refinement. Thus, it is expected that this work not only can present or even confirm that in most cases greater refinements imply better numerical precision, but rather serve as a basis for decision-making when analyzing the best spatial and should be considered for numerical accuracy and low computational time.
- Imprenta:
- Publisher place: San Bernardino
- Date published: 2019
- Source:
- Título: International Journal of Applied Physics and Mathematics
- ISSN: 2010362X
- Volume/Número/Paginação/Ano: v.9, n.3, p.135-143, 2019
- Status:
- Artigo publicado em periódico de acesso aberto (Gold Open Access)
- Versão do Documento:
- Versão publicada (Published version)
- Acessar versão aberta:
-
ABNT
ASSIS, Letícia Helena Paulino e ROMAO, Estaner Claro. Numerical Simulation by High-Order Explicit Finite Difference Method to Solve the Burgers Equation. International Journal of Applied Physics and Mathematics, v. 9, n. 3, p. 135-143, 2019Tradução . . Disponível em: https://doi.org/10.17706/ijapm.2019.9.3.135-143. Acesso em: 16 abr. 2026. -
APA
Assis, L. H. P., & Romao, E. C. (2019). Numerical Simulation by High-Order Explicit Finite Difference Method to Solve the Burgers Equation. International Journal of Applied Physics and Mathematics, 9( 3), 135-143. doi:10.17706/ijapm.2019.9.3.135-143 -
NLM
Assis LHP, Romao EC. Numerical Simulation by High-Order Explicit Finite Difference Method to Solve the Burgers Equation [Internet]. International Journal of Applied Physics and Mathematics. 2019 ;9( 3): 135-143.[citado 2026 abr. 16 ] Available from: https://doi.org/10.17706/ijapm.2019.9.3.135-143 -
Vancouver
Assis LHP, Romao EC. Numerical Simulation by High-Order Explicit Finite Difference Method to Solve the Burgers Equation [Internet]. International Journal of Applied Physics and Mathematics. 2019 ;9( 3): 135-143.[citado 2026 abr. 16 ] Available from: https://doi.org/10.17706/ijapm.2019.9.3.135-143 - Numerical Simulation of 1D Unsteady Heat Conduction-Convection in Spherical and Cylindrical Coordinates by Fourth-Order FDM
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