TY - EJOU AU - Campos, M.D. AU - Romão, E.C. TI - A High-Order Finite-Difference Scheme with a Linearization Technique for Solving of Three-Dimensional Burgers Equation T2 - Computer Modeling in Engineering \& Sciences PY - 2014 VL - 103 IS - 3 SN - 1526-1506 AB - The objective of this paper aims to present a numerical solution of high accuracy and low computational cost for the three-dimensional Burgers equations. It is a well-known problem and studied the form for one and two-dimensional, but still little explored numerically for three-dimensional problems. Here, by using the High-Order Finite Difference Method for spatial discretization, the Crank-Nicolson method for time discretization and an efficient linearization technique with low computational cost, two numerical applications are used to validate the proposed formulation. In order to analyze the numerical error of the proposed formulation, an unpublished exact solution was used. KW - Burgers equations KW - High-order Finite Difference Method KW - linearization technique DO - 10.3970/cmes.2014.103.139