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?
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!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe082a62-4024-470b-9494-09a6e9a82c01%2Fac604c18-29b6-4788-becf-375d78359659%2Fp4qy5xg_processed.jpeg&w=3840&q=75)
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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