Which of the Following Are Second Order Runge-Kutta Methods for the Solution
Question 12
Question 12
Multiple Choice
Which of the following are second order Runge-Kutta methods for the solution of yt=f(x,y) ,y(x0) =y0 ? Select all that apply.
A) yn+1=yn+h(k1+k2) /2, where k1=f(xn,yn) ,k2=f(xn+h,yn+hk1) B) yn+1=yn+h(k1/3+2k2/3) , where k1=f(xn,yn) k2=f(xn+3h/4,yn+3hk1/4) C) yn+1=yn+h(2k1/3+k2/3) , where k1=f(xn,yn) k2=f(xn+3h/2,yn+3hk1/2) D) yn+1=yn+h(k1+k2) /2, where k1=f(xn,yn) ,k2=f(xn+2h,yn+2hk1) E) yn+1=yn+h(3k1+k2) /4, where k1=f(xn,yn) ,k2=f(xn+2h,yn+2hk1)
Correct Answer:
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