引入中间变量求解“无表达式”常微分方程的初值问题

SOLVING PROCESS FOR THE INITIAL VALUE OF A DIFFERENTIAL EQUATION WITH“NON-EXPRESSION”BY INTRODUCING INTERMEDIATE VARIABLES

当求解“给不出完整的右函表达式”的常微分方程时，必须经过预处理，以弥补原方程中不足的部分，否则因缺少条件将无法求解。用“数值微分”法虽然可以弥补“给不出一阶微分表达式”的不足条件，但实际处理时，“数值微分”法也会带来与同组其他数值“不同步”的问题。本文介绍了“引入中间变量”的处理方法，较好地解决了由于采用“数值微分”所带来的“不同步”问题，从而保证系统收敛。

Generally,the pretreatment must be done when solving a differential equation,the integrate expression of the right function of which can not be given. A solution of this type of differantial equation by introducing intermediate variables has been recommended in this paper. Using this method,the non-synchronous problem caused by numerical methods for integration has been solved,hence, the convergence of system can be ensured.