A Galerkin Solution for Burgers' Equation Using Cubic B-Spline Finite Elements
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Soliman, Abdel-Maksoud A.. 2012. A Galerkin Solution for Burgers' Equation Using Cubic B-Spline Finite Elements. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-478801
Modern Language Association (MLA)
Soliman, Abdel-Maksoud A.. A Galerkin Solution for Burgers' Equation Using Cubic B-Spline Finite Elements. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-478801
American Medical Association (AMA)
Soliman, Abdel-Maksoud A.. A Galerkin Solution for Burgers' Equation Using Cubic B-Spline Finite Elements. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-478801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478801