Question

7. What is the idea of the Runge-Kutta method?

Answer 1

Solution : Runge -Kutta method is a family of implicit and explicit iterative method that include the well known routine called the Euler method .

Runge - Kutta method is a widely used method for solving the initial value problems of differential equations .

Runge - Kutta method can be used to construct high order accurate numerical method by functions self without needing the high order derivatives of functions .

The main idea of Runge - Kutta method is to move from step y_i to y_(i+1) by multiplying some estimated slope by a timestep .