A direct variational method applied to Burgers' equation
type: Item
instance of: scholarly article
title: A direct variational method applied to Burgers' equation
zbMATH Open document ID: 0856.65114
DOI: 10.1016/0377-0427(95)00221-9
author: A. Özdeş
author: Turgut Öziş
published in: Journal of Computational and Applied Mathematics
publication date: 1996-09-18T00:00:00Z
review text: A direct variational method for the Burgers equation with periodic boundary conditions is presented. The equation is transformed to a diffusion equation and solved by minimizing suitable functionals. Fourier basis is used for the space variable to demonstrate the method.
reviewed by: Roumen Anguelov
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 910309
zbMATH Keywords: direct variational method
zbMATH Keywords: Burgers equation
zbMATH Keywords: diffusion equation
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00221-9
OpenAlex ID: W2067897155
cites work: Q5624066
cites work: A finite element approach to Burgers' equation
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: A moving Petrov-Galerkin method for transport equations
cites work: The partial differential equation ut + uux = μxx
cites work: Q3937910
cites work: A Variational-Iterative Scheme Applied to Burgers' Equation
cites work: Space‐time finite elements incorporating characteristics for the burgers' equation
cites work: The solution of Burgers' equation for sinusoidal excitation at the upstream boundary
description: scientific article; zbMATH DE number 910309