Ordinary differential equations the Runge-Kutta method

7 Ordinary differential equations the Runge-Kutta method 

This scheme has tight connections with the Simpson s rule for numerical integration. 

Let us show how the method is implemented on the first time step 

A few more steps with results trimmed to the fourth digit are computed in Table 3.8. The Runge-Kutta provides a robust and reasonably precise answer to most differential equations, = 

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