Numerical simulations of Kuramoto-Sivashinsky equation in reaction-diffusion via Galerkin method
type: Item
instance of: scholarly article
title: Numerical simulations of Kuramoto-Sivashinsky equation in reaction-diffusion via Galerkin method
zbMATH Open document ID: 1473.65191
author: Ozlem Ersoy Hepson
published in: Mathematical Sciences
publication date: 2021-07-15T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7372219
zbMATH Keywords: Kuramoto-Sivashinsky equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: stability analysis
zbMATH Keywords: quartic trigonometric tension B-splines
MaRDI profile type: Publication
full work available at URL: s40096-021-00402-8
OpenAlex ID: W3159546430
cites work: A numerical algorithm based on a new kind of tension B-spline function for solving Burgers-Huxley equation
cites work: Generalization of Gegenbauer wavelet collocation method to the generalized Kuramoto-Sivashinsky equation
cites work: The exponential cubic B-spline collocation method for the Kuramoto-Sivashinsky equation
cites work: Extended tanh-function method and its applications to nonlinear equations
cites work: The non-existence of a certain class of travelling wave solutions of the Kuramoto-Sivashinsky equation
cites work: Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation
cites work: Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods
cites work: Numerical solutions of the generalized kuramoto-sivashinsky equation using B-spline functions
cites work: On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation
cites work: Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation
cites work: A quintic B-spline based differential quadrature method for numerical solution of Kuramoto-Sivashinsky equation
cites work: Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations
DOI: 10.1007/S40096-021-00402-8
description: scientific article; zbMATH DE number 7372219