摘要
针对Adams预测校正算法求解微分方程组作了改进.算法的主要改进之处是在校正环节用已经计算出来的"新值"取代"旧值".最后,基于提出的改进方法和传统的Adams预测校正算法对同一微分方程组问题作了数值比较实验.数值实验结果表明改进的算法与传统的Adams预测校正算法的计算量一样,但精度大大提高.
The Adams predictor-corrector method is improved to solve systems of differential equations. The major improvement of the proposed new algorithm is that it adopts the new value to replace the old value at the each corrector iteration step. In the last, the proposed improvement algorithm and the traditional Adams predictor-corrector method have been implemented for same systems of differential equations problem. Some computational results are included. Computation results indicate that the computational effort of improved method is equal to the traditional Adams predictor- corrector method, but the accuracy of the improved method is higher.
出处
《大学数学》
2013年第4期39-43,共5页
College Mathematics
基金
国家自然科学基金资助项目(61174216
61074091)
