Numerical Methods For Kinds Of Burgers Equation

Two kinds of numerical methods for Burgers equation are discussed.Firstly, a dis-crete computing scheme for one-dimensional boundary problem is given by using cen-tral difference quotient. The convergence of the discrete scheme's numerical solution is proved.The approximate solution of the discrete scheme is achieved by using the modified Newton iteration method. The error estimate between the discrete solution and the exact solution is discussed under the new norms.Secondly,a discrete computing scheme of two-dimensional boundary problem is given and discussed analogously . Then,the boundary problem is discussed by means of finite element method,the numerical example is given later.