Use RK2 (Heun's method) with h = 1/4 to estimate y(4/4) given Yo 30: Y1- Y2: Y3- Y4: 3/13 3/2: Y'3: Y/₁ d²y d02 Find the absolute error relative to the analytic solution y(0) = cos(0). Error in y4: = = −y, y(0 = 0) = 1, y' (0 = 0) = 0.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Use RK2 (Heun's method) with h = 1/4 to estimate y(4/4) given
Yo
30:
Y1-
Y2:
Y3-
Y4:
3/13
3/2:
Y'3:
Y/₁
d²y
d02
Find the absolute error relative to the analytic solution y(0) = cos(0).
Error in y4:
=
= −y, y(0 = 0) = 1, y' (0 = 0) = 0.
Transcribed Image Text:Use RK2 (Heun's method) with h = 1/4 to estimate y(4/4) given Yo 30: Y1- Y2: Y3- Y4: 3/13 3/2: Y'3: Y/₁ d²y d02 Find the absolute error relative to the analytic solution y(0) = cos(0). Error in y4: = = −y, y(0 = 0) = 1, y' (0 = 0) = 0.
Expert Solution
steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning