A Galerkin solution for Burgers' equation using cubic B-spline finite elements
type: Item
instance of: scholarly article
title: A Galerkin solution for Burgers' equation using cubic B-spline finite elements
zbMATH Open document ID: 1253.65161
DOI: 10.1155/2012/527467
author: Ahmed Abo-Elmagd Soliman
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: Numerical solutions for Burgers' equation based on the Galerkins' method using cubic B-splines as both weight and interpolation functions are set up. It is shown that this method is capable of solving Burgers' equation accurately for values of viscosity ranging from very small to large. Three standard problems are used to validate the proposed algorithm. A linear stability analysis shows that a numerical scheme based on a Cranck-Nicolson approximation in time is unconditionally stable.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 6116413
zbMATH Keywords: Burgers' equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: cubic B-splines
Wikidata QID: Q58695417
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/527467
OpenAlex ID: W2171660372
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description: scientific article; zbMATH DE number 6116413