## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Alternating direction implicit (ADI) method for numerical solutions of two-dimensional burgers equations

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2018-11-11

PAPER REVISED: 2018-11-29

PAPER ACCEPTED: 2019-01-08

PUBLISHED ONLINE: 2019-03-09

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