Finite difference approximate solutions for the two-dimensional Burgers' system
Finite difference approximate solutions for the two-dimensional Burgers system which models a turbulent flow in a channel. Implicit Euler method is applied to obtain approximate solutions. Existence of solutions is shown by using Leray-Schauder fixed-point theorem. Stability and uniqueness of the solution are also shown by judicious applications of the discrete Gronwall's inequality and energy methods. (C) 2002 Elsevier Science Ltd. All rights reserved.
burgers' system leray-schauder fixed-point theorem discrete gronwall's inequality