Consider the following ODE in time (from Homework 6). Integrate in time using 4th order Runge-Kutta method. Compare this solution with the finite difference and analytical solutions from Homework 6. 4 25 u(0)=0 (a) Use At = 0.2 up to a final time t = 1.0. (b) Use At=0.1 up to a final time t = 1.0. 0 (0)=2 (c) Discuss the difference in the two solutions of parts (a) and (b). Why are they so different?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.7P
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Consider the following ODE in time (from Homework 6). Integrate in time using 4th order Runge-Kutta
method. Compare this solution with the finite difference and analytical solutions from Homework 6.
4 25
u(0)=0
(a) Use At = 0.2 up to a final time t = 1.0.
(b) Use At=0.1 up to a final time t = 1.0.
0
(0)=2
(c) Discuss the difference in the two solutions of parts (a) and (b). Why are they so different?
Transcribed Image Text:Consider the following ODE in time (from Homework 6). Integrate in time using 4th order Runge-Kutta method. Compare this solution with the finite difference and analytical solutions from Homework 6. 4 25 u(0)=0 (a) Use At = 0.2 up to a final time t = 1.0. (b) Use At=0.1 up to a final time t = 1.0. 0 (0)=2 (c) Discuss the difference in the two solutions of parts (a) and (b). Why are they so different?
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