抛物型方程的交替分组显式迭代方法

Alternating Group Explicit Iteration Methods for Parabolic Equations

给出了对流扩散方程的一种新的交替分组显式迭代方法,并用线性化方法分析了其稳定性和收敛性,给出了模型问题的数值结果,并在数值例子中对于精确解和数值解做出了比较,验证了该方法的稳定性和收敛性。

Alternating group explicit iteration methods for parabolic problems are given. The stability and convergence are analyzed by the linear method. Numerical results of the model problem are given. And the comparison of exact and numerical solutions is made to verify the stability and convergence of the method.