Controle Temporal e Adaptabilidade Espacial na Resolução Numérica de uma Equação tipo KdV

Authors

  • F.C.G. Mendonça
  • M.O. Domingues
  • E.E.N. Macau

DOI:

https://doi.org/10.5540/tema.2008.09.02.0265

Abstract

Nas últimas décadas, vários métodos vêm sendo desenvolvidos, utilizando ferramentas wavelet para resolução numérica de equações diferenciais parciais evolutivas com adaptabilidade espacial. Esses métodos, tradicionalmente, utilizam técnicas explícitas para a discretização no tempo. Com o aperfeiçoamento desses métodos espaciais, como por exemplo, os híbridos wavelets-diferenças finitas, há necessidade de enfoques explícitos temporais mais eficientes e estáveis. Com essa finalidade, são avaliados neste trabalho o uso de algumas técnicas de Runge-Kutta Encaixados (RKE) de ordem 4(5), nesse contexto adaptativo wavelet, para a resolução de um problema teste em uma equação tipo Korteweg-de Vries (KdV) com a interação de duas ondas solitárias.

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Published

2008-06-01

How to Cite

Mendonça, F., Domingues, M., & Macau, E. (2008). Controle Temporal e Adaptabilidade Espacial na Resolução Numérica de uma Equação tipo KdV. Trends in Computational and Applied Mathematics, 9(2), 265–274. https://doi.org/10.5540/tema.2008.09.02.0265

Issue

Vol. 9 No. 2 (2008)

Section

Original Article

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