【摘要】 主要构造了求解一维隐式差分方程的四点嵌套迭代并行算法 ,并证明了它的收敛性 .数值算例表明 ,四点嵌套迭代法不仅有好的并行性 ,且有较高的收敛性和计算精度更多还原

【Abstract】 The focal point is to construct a new embedding overlapped iterative algorithm for solving one-dimensional implicit difference equations. The quadri-points embedding overlapped iterative (QEOI) algorithm is set up and its convergence property is proved. And more, the method has the advantages of paralleling computing, stability and accuracy. In the numerical experiments for an example the convergence and the accuracy of the method is showed.更多还原