In the following centered difference formula for the derivative 1 · [5 f (x − 3h) + Aƒ (x − 2h) – 39( f (x – h) − f (x + h)) + Bf(x+2h) +Cf(x +3h)]+E(h) f(ª) (§) - Dh ƒ'(x) = = What must A, B, C and D be for the formula to be correct? E(h) is the coefficient of the error term; determine it.
In the following centered difference formula for the derivative 1 · [5 f (x − 3h) + Aƒ (x − 2h) – 39( f (x – h) − f (x + h)) + Bf(x+2h) +Cf(x +3h)]+E(h) f(ª) (§) - Dh ƒ'(x) = = What must A, B, C and D be for the formula to be correct? E(h) is the coefficient of the error term; determine it.
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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Explain this to me in the simplest terms possible
![In the following centered difference formula for the derivative
1
· [5ƒ (x − 3h) + Aƒ (x − 2h) –— 39(f(x − h) − f (x + h)) + Bƒ (x+2h) + Cf(x+3h)]+E(h)ƒ(¹) (§)
Dh
ƒ'(x)=
What must A, B, C and D be for the formula to be correct? E(h) is the coefficient of the error term;
determine it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc15ff11-3f89-4359-8815-e1d315a3e8a1%2Fd1cbe43d-e3f1-4469-bc9f-656070b823eb%2Fz3zgj2_processed.png&w=3840&q=75)
Transcribed Image Text:In the following centered difference formula for the derivative
1
· [5ƒ (x − 3h) + Aƒ (x − 2h) –— 39(f(x − h) − f (x + h)) + Bƒ (x+2h) + Cf(x+3h)]+E(h)ƒ(¹) (§)
Dh
ƒ'(x)=
What must A, B, C and D be for the formula to be correct? E(h) is the coefficient of the error term;
determine it.
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