求解延迟动力系统的一类并行预校算法

A Class of Parallel Predict-correct Method for Solving DDEs

利用牛顿向后插值公式作预估式且利用单步龙格 库塔方法作校正式 ,构造了一类用于求解延迟动力系统 (DDEs)的并行预校龙格 库塔算法 ,并给出了方法的局部误差分析 .

In this paper the authors construct a class of parallel predict correct algorithm for solving delay differential equations with Newton backward interpolation as predictor and Runge Kutta methods as corrector and the local error estimation of the algorithm is also given. It is shown that the algorithm is successful in solving nonlinear multidimensional delay differential equations from the numerical tests.