Math, asked by sk2910785, 2 months ago

advantage of Runge kutta method​

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Answered by yogeshchouhan211
1

Answer:

The main advantages of Runge-Kutta methods are that they are easy to implement, they are very stable, and they are ``self-starting'' (i.e., unlike muti-step methods, we do not have to treat the first few steps taken by a single-step integration method as special cases).

Answered by saanvigrover2007
5

⇒ Runge Kutta method

In numerical analysis, the Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the well-known routine called the Euler Method, used in temporal discretization for the approximate solutions of ordinary differential equations. These methods were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta.

⇒ Advantages of Runge Kutta method

⇒ The main advantages of Runge-Kutta methods are that they are easy to implement, they are very stable, and they are ``self-starting'' (i.e., unlike muti-step methods, we do not have to treat the first few steps taken by a single-step integration method as special cases).

{Refer to the images to learn more about Runge Kutta Method}

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