Abstract:
The two dimensional coupled Burgers’ equations constitute an appropriate
model for developing computational algorithms, for solving the incompress-
ible Navier-Stokes equations. Moreover, they are generally used as transport
equations because they model a number of fluid flow phenomena, for example,
turbulent flow, shock wave formation and boundary layer formation. In this
paper, we develop a hybrid Crank-Nicolson and Du Fort and Frankel (CN-
DF) scheme. The hybrid CN-DF is developed by introducing the Du Fort and
Frankel (DF) properties into the Crank-Nicolson scheme (CN). This is a three-
level scheme and is also unconditionally stable. Numerical solutions from the
hybrid scheme are obtained by the use of MATLAB software. By use of
L
1
error, it is determined that the hybrid scheme is fifth order accurate in space
and produces better results in comparison to the pure Crank-Nicolson and the
pure Du Fort and Frankel schemes
