In this paper, we derive a general analytical solution of the two dimensional coupled unsteady nonlinear generalized burgers’ equations via Hopf-Cole transformation and separation of variable method, which is used to generate three different sets of initial and boundary conditions. These sets of conditions are used for numerical approximations of the Burgers’ equations using the described implicit Logarithmic finite-difference method on the uniform mesh point. The effect of the variation in the Reynolds number is investigated and the accuracy of the scheme is determined through error norms. The described scheme is stable for the small time step and high Reynolds number.
کلید واژگان :
Burgers’ equations; Hopf-Cole transformation; Separation of variable; Logarithmic Finite-difference method; Reynolds number
