具有移动奇点的非线性微分方程组的一种解法
A method for solving systems of non-linear differential equations with moving singularities
摘要：
本文给出了一类具移动奇点的耦合非线性微分方程在某些附加条件下的求解方法。我们表明，这种类型的奇点，可以充分处理，通过建立一定的“移动”跨越他们的跳跃条件。我们展示了如何第一积分的微分方程，如果可用的话，也可以用于检查数值解的准确性。
英文摘要：
We present a method for solving a class of initial valued, coupled, non-linear differential equations with `moving singularities' subject to some subsidiary conditions. We show that this type of singularities can be adequately treated by establishing certain `moving' jump conditions across them. We show how a first integral of the differential equations, if available, can also be used for checking the accuracy of the numerical solution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
