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2.) Consider f(x) = sin2x for xo = 0, x₁ = 0.25, x2 = 0.5, x3 = 0.75, x4 = 1.0. Calculate f2' using the three- point and four-point formulas. Determine the errors, then compare. Compute using h=0.2 and 0.02. Is there a difference in error?

2.) Consider f(x) = sin2x for xo = 0, x₁ = 0.25, x2 = 0.5, x3 = 0.75, x4 = 1.0. Calculate f2' using the three- point and four-point formulas. Determine the errors, then compare. Compute using h=0.2 and 0.02. Is there a difference in error?

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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Subject: Advance Mathematics

Topic: Numerical Differentiation and Integration Methods

2.) Consider f(x) = sin2x for xo = = 0, x₁ = 0.25, x2 = 0.5, x3 = 0.75, x4 = 1.0. Calculate f2' using the three- point and four-point formulas. Determine the errors, then compare. Compute using h=0.2 and 0.02. Is there a difference in error?
Transcribed Image Text:2.) Consider f(x) = sin2x for xo = = 0, x₁ = 0.25, x2 = 0.5, x3 = 0.75, x4 = 1.0. Calculate f2' using the three- point and four-point formulas. Determine the errors, then compare. Compute using h=0.2 and 0.02. Is there a difference in error?
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