The imrovement of Galerkin-conservation finite element method for coupled Burgers' problem

الملخص EN

The Burgers' equation is an example of an equation that has unstable Galerkin-Conservation finite element method for very small viscosity coefficients, ϵ, in this paper, a stabilized finite element methods for solving 2-D coupled Burgers' problem is studied, the Galerkin-conservation partial artificial diffusion (G.

-C.

P.

A.

D.

) and Galerkin-Conservation straight artificial diffusion (G.

-C.

S.

A.

D.

) finite element methods are used to handle such problem.

The Crank-Nicholson method for the time variable is considered.

Two numerical examples have been carried out through implementation in MATLAB program to illustrate the efficiency of the proposed methods.