A Numerical Study of Burgers' Equation With Robin Boundary Conditions

This thesis examines the numerical solution to Burgers' equation on a finite spatial domain with various boundary conditions. We first conduct experiments to confirm the numerical solutions observed by other researchers for Neumann boundary conditions. Then we consider the case where the non-homogeneous Robin boundary conditions approach non-homogeneous Neumann conditions. Finally we numerically approximate the steady state solutions to Burgers' equation with both the homogeneous and non-homogeneous Robin boundary conditions.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2001

Author dc:creator

• Nguyen, Vinh Q.

Chair dc:contributor.committeechair

• Burns, John A.

Committee members dc:contributor.committeemember

• Lin, Tao
• Borggaard, Jeffrey T.

• non-constant steady state solution
• steady state solution

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-02202001-143923

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/31285