“Runge–Kutta methods”的概念、定义、习题解题方法及翻译-数学辞典

单词

Runge–Kutta methods

释义

Runge–Kutta methods

A numerical method of solving differential equations in the form $inline$ which uses the midpoint of interval(s) to improve accuracy. So if the value of the function is known at (xn,yn), and the estimate yn + 1 of y is required at xn + 1 = xn + h, the second-order Runge–Kutta formula is

and the fourth-order Runge–Kutta formula is

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