Compute dx using the -1 (a) Trapezoidal rule (b) Trapezoidal rule with end corrections using the first derivative (c) Trapezoidal rule with end corrections using the first derivative and third derivatives (d) Gauss-Legendre quadrature

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For n=5

D part only 

Compute
'dx using the
-1
(a) Trapezoidal rule
(b) Trapezoidal rule with end corrections using the first derivative
(c) Trapezoidal rule with end corrections using the first derivative and third derivatives
(d) Gauss-Legendre quadrature
• Perform this by subdividing [-1, 1] into NE {2,5, 10, 20, 50, 100} panels
Transcribed Image Text:Compute 'dx using the -1 (a) Trapezoidal rule (b) Trapezoidal rule with end corrections using the first derivative (c) Trapezoidal rule with end corrections using the first derivative and third derivatives (d) Gauss-Legendre quadrature • Perform this by subdividing [-1, 1] into NE {2,5, 10, 20, 50, 100} panels
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