A LINEARIZED ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NON-LINEAR BURGERS’ EQUATIONS
VILDAN GÜLKAÇ *
Department of Mathematics, Faculty of Science and Arts, Kocaeli University, Kocaeli, Turkey
*Author to whom correspondence should be addressed.
Abstract
A linearized iterative method is prepared to find numerical solutions of the two-dimensional non-linear Burgers’ equations. Each of two-dimensional Burgers’ equations is divided into two one-dimensional equations. And, one-dimensional equations were linearized and could be solved so easily one-dimensional equations iteratively. Convergence analysis of one-dimensional equations could be made.
Keywords: Burgers’ equations, finite-difference, LOD method, reynolds number, iterative methods