A finite element approach for solution of Burgers' equation

Applied Mathematics and Computation

Volumn 139, Issue 2-3, 2003, Pages 417-428

  Ozis T ^a   Aksan, E N ^b   Ozdes A ^b  

^a EGE UNIVERSITY   (Turkey)

^b INONU UNIVERSITY   (Turkey)

Author keywords

Burgers' equation; Finite element

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; LINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SHOCK WAVES; VISCOSITY;

BURGERS' EQUATION;

TURBULENCE;

EID: 0037448173     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00204-7     Document Type: Article

References (9)

1. Bateman H. Some recent researchers on the motion of fluids. Mon. Weather Rev. 43:1915;163-170.
2. Burgers J.M. Mathematical examples illustrating relations occurring in the theory of turbulent fluid motion. Trans. Roy. Neth. Acad. Sci. Amsterdam. 17:1939;1-53.
3. Burgers J.M. A Mathematical model illustrating the theory of turbulance. Von Mises R., Von Kármán T. Advances Applied Mechanics. vol. 1:1948;Academic Press, New York.
4. Cole J.D. On a quasi linear parabolic equation occurring in aerodynamics. Quart. Appl. Math. 9:1951;225-236.
5. Benton E.R., Platzman G.W. A table of solution of the one-dimensional Burgers' equation. Quart. Appl. Math. 30:1972;195-212.
6. Kutluay S., Bahadir A.R., Özdeş A. Numerical solution of one-dimensional Burgers' equation: explicit and exact-explicit difference methods. J. Comput. Appl. Math. 103:1999;251-261.
7. Öziş T., Özdeş A. A direct variational methods applied to Burgers' equation. J. Comput. Appl. Math. 71:1996;163-175.
8. Mittal R.C., Singhal P. Numerical solution of Burgers' equation. Commun. Numer. Meth. Eng. 9:1993;397-406.
9. Hill J.M., Dewynne J.N. Heat Conduction. 1987;Blackwell Scientific Publication, Oxford. p. 220.