trapezoidal rule - runge kutta 4th order

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Xavipersonal

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Hi,
I have solved an differencial equation using the Euler Fordward method. It was not accurately enough. So I am thinking to use the trapezoidal rule but I have read also that this method takes a lot of time until it converges. The other option was the runge-kutta equation because it is even more accurate than trapezoidal but i would like to know if is runge-kutta converging faster than trapezoidal method or which advantage presents?

Thanks a lot in advance

Best regards,
Javier
 

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