Controle Temporal e Adaptabilidade Espacial na Resolução Numérica de uma Equação tipo KdV
DOI:
https://doi.org/10.5540/tema.2008.09.02.0265Abstract
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.References
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