TY - JOUR
TI - Alternating direction implicit method for numerical solutions of 2-D burgers equations
AU - Çelikten Gonca
AU - Aksan Emine Nesligul
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 243
EP - 252
PT - Article
AB - In this study, the system of two-dimensional Burgers equations is numerically  solved by using Alternating Direction Implicit (ADI) method. Two model  problems are studied to demonstrate the efficiency and accuracy of the ADI  method. Numerical results obtained by present method are compared with the  exact solutions and numerical solutions given by other researchers. It is  displayed that the method is unconditionally stable by using the von-Neumann  (Fourier) stability analysis method. It is shown that all results are in  good agreement with the results given by existing numerical methods in the  literature.