Burgers方程的一类交替分组方法

对于Burgers方程给出了一组新的Saul'yev型非对称差分格式，并用这些差分格式构造了求解非线性Burgers方程的交替分组四点方法．该算法把剖分节点分成若干组，在每组上构造能够独立求解的差分方程．因此算法具有并行本性，能直接在并行计算机上使用．章还证明了所给算法线性绝对稳定．数值试验表明，该方法使用简便，稳定性好，有很好的精度。

Class of Alternating Group Method of Burgers' Equation

Some new Saul'yev type asymmetric difference schemes for Burgers' equation is given,by the use of the schemes,a kind of alternating group four points method for solving nonlinear Burgers' equation is constructed here.The basic idea of the method is that the grid points on the same time level is divided into a number of groups,the difference equations of each group can be solved independently,hence the method with intrinsic parallelism can be used directly on parallel computer.The method is unconditionally stable by analysis of linearization procedure.The numerical experiments show that the method has good stability and accuracy.