【摘要】 在本文提出的这一方法中,利用对一阶微分方程组逐次积分,得到了十分简单有效的近似计算方式。对于经常探讨的九个例题作了试算。在相同的时间步长下,它与文献公布的各种改进型方法的结果相比,精度大致相当或略优。说明这一方法在简单、普适、精确和稳定各方面令人满意。更多还原

【Abstract】 sIn the approach propsed in this paper, very simple and effective approximate formulae are obtained through multiple integration to the one order differential equation set. Nine test cases which have been studied extensively in the literature are calculated. Using equal time steps, the results from the method are almost the same (in accuracy)as or somewhat better than the results from other advanced methods. It can therefore be concluded that the new method ls very satisfactory with regard to the simplicity, generality, accuracy and stability.更多还原