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本文从牛顿法求解方程的基本原理出发,针对水利和港航工程如汊道分流、临界水深、水面壅高等计算中所遇到的含自变量的隐函数试算问题,提出主变量牛顿法。通过实例计算表明,主要量牛顿法是水力计算中较实用、较快速的方程求解法。
Starting from the basic principle of Newton’s method of solving equations, this paper presents the main variables Newton method for the trial calculation of implicit functions with independent variables encountered in water conservancy and navigation projects such as diversion, critical depth and surface water heights. The calculation results show that the main amount of Newton’s method is more practical and quicker to solve the equation in hydraulic calculation.