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(a) The quantity G(x) = ²f(x)=5ƒ(x+h)+4f(x+2h)-f(x+3h) is a finite difference representa- tion of what derivative? Forward, backward, central? With what order of accuracy? Prove your answer. df (x) (b) Derive a second order forward difference representation of dx

(a) The quantity G(x) = ²f(x)=5ƒ(x+h)+4f(x+2h)-f(x+3h) is a finite difference representa- tion of what derivative? Forward, backward, central? With what order of accuracy? Prove your answer. df (x) (b) Derive a second order forward difference representation of dx

Advanced Engineering Mathematics
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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(a) The quantity G(x) = ²f(x)=5ƒ(x+h)+4ƒ(x+2h)-f(x+3h) is a finite difference representa- tion of what derivative? Forward, backward, central? With what order of accuracy? Prove your answer. df (x) (b) Derive a second order forward difference representation of dx
Transcribed Image Text:(a) The quantity G(x) = ²f(x)=5ƒ(x+h)+4ƒ(x+2h)-f(x+3h) is a finite difference representa- tion of what derivative? Forward, backward, central? With what order of accuracy? Prove your answer. df (x) (b) Derive a second order forward difference representation of dx
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