Consider the 1ª order initial value problem: y' = f(t,y), 0sts 2, y(0) = yo A certain method is used to solve the IVP, the truncation error of this method has the form: k,h² + k̟h* + kgh° + - An approximation of y(1) using this method with h = 0.5 and h = 0.25 are respectively 1.4 and 1.5. Using Richardson's extrapolation to improve the approximation value of y(1), we obtain: 0.5333 O 0.8 O 1.5333 O 1.6 O other:
Consider the 1ª order initial value problem: y' = f(t,y), 0sts 2, y(0) = yo A certain method is used to solve the IVP, the truncation error of this method has the form: k,h² + k̟h* + kgh° + - An approximation of y(1) using this method with h = 0.5 and h = 0.25 are respectively 1.4 and 1.5. Using Richardson's extrapolation to improve the approximation value of y(1), we obtain: 0.5333 O 0.8 O 1.5333 O 1.6 O other:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the 1* order initial value problem:
y' = f(t, y), 0sts 2, y(0) = yo
A certain method is used to solve the IVP, the truncation error of this method has the form:
k,h? + kgh* + kgh° + ..
An approximation of y(1) using this method with h = 0.5 and h = 0.25 are respectively 1.4
and 1.5. Using Richardson's extrapolation to improve the approximation value of y(1), we
obtain:
0.5333
0.8
1.5333
1.6
Other:
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