Solve the following initial-value problem from t = 4 to 5: dy/dt = 2y/t Use a
Question:
Solve the following initial-value problem from t = 4 to 5:
dy/dt = – 2y/t
Use a step size of 0.5 and initial values of y(2.5) = 0.48, y(3) = 0.333333, y(3.5) = 0.244898, and y(4) = 0.1875. Obtain your solutions using the following techniques:
(a) The non-self-starting Heun method (εs = 1%), and
(b) The fourth-order Adams method (εs = 0.0l%) [Note: The exact answers obtained analytically are y(4.5) = 0.148148 and y(5) = 0.12.] Compute the true percent relative errors εt for your results.
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a Nonselfstarting Heun First step Predictor y 1 0 0244898 20187541 0151148 Corrector The ...View the full answer
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Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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