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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2017.tde-16012017-113140
Document
Author
Full name
Edward Luís de Araujo
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2016
Supervisor
Committee
Gameiro, Márcio Fuzeto (President)
Alberto, Luís Fernando Costa
Castelo Filho, Antonio
Fu, Ma To
Rodrigues, Savio Brochini
Title in Portuguese
Soluções de equilíbrio de EDPs usando base de Chebyshev
Keywords in Portuguese
Alen-Cahn
Chebyshev
EDPs
Equilíbrio
Swift-Hohemberg
Abstract in Portuguese
Este trabalho apresenta um método numérico rigoroso para encontrar soluções de equilíbrio para equações diferenciais parciais usando base de Chebyshev. Aplicações do método são apresentadas para a equação de Alen-Cahn e Swift-Hohenberg.
Title in English
Equilibrium solutions for PDEs using Chebyshev basis
Keywords in English
Alen-Cahn
Chebyshev
Equilibria
PDEs
Swift-Hohemrg
Abstract in English
This work presents a rigorous numerical method to find equilibrium solutions to partial differential equations using Chebyshev basis. Applications are presented to the Alen-Cahn and Swift-Hohenberg equations.
 
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Publishing Date
2017-01-16
 
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