An efficient numerical method based on Variational iteration method for solving the Kuramoto-Sivashinsky equations
Author(s) -
Alireza Hosseini
Publication year - 2020
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.42281
Subject(s) - mathematics , galerkin method , mathematical optimization , numerical analysis , mathematical analysis , finite element method , physics , thermodynamics
In this paper we consider variational iteration method to investigate solution of Kuramoto-Sivashinsky equations. Comparison of the results of this method obtained just in 2-iterations with RBF based mesh -free method and local continuous Galerkin methods, shows the efficiency of this method. Moreover, numerical solution of this equation by spectral collocation method is investigated. Numerical experiments are included to show the efficiency of these methods.
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