论文信息 - A numerical solution of Burgers' equation

A numerical solution of Burgers' equation

In this paper, the Burgers' equation which is one-dimensional quasi-linear parabolic partial differential equation was solved by a variational method constructed on the method of discretization in time. The numerical results obtained by these ways for various values of viscosity have been compared with the exact solution. It was seen that they were in good agreement with each other.

E. N. Aksan | A. Özdes

[1] E. Hopf. The partial differential equation ut + uux = μxx , 1950 .

[2] J. Burgers. A mathematical model illustrating the theory of turbulence , 1948 .

[3] J. N. Reddy,et al. Applied Functional Analysis and Variational Methods in Engineering , 1986 .

[4] David J. Evans,et al. The Group Explicit method for the solution of Burger's equation , 1984, Computing.

[5] Turgut Öziş,et al. A direct variational methods applied to Burgers' equation , 1996 .

[6] J. Cole. On a quasi-linear parabolic equation occurring in aerodynamics , 1951 .

[7] Turgut Özis,et al. A finite element approach for solution of Burgers' equation , 2003, Appl. Math. Comput..

[8] W. D. Liam Finn,et al. Space‐time finite elements incorporating characteristics for the burgers' equation , 1980 .

[9] Karel Rektorys,et al. The method of discretization in time and partial differential equations , 1982 .