Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Xi
Wi
-0.906179845938664 0.236926885056182
-0.538469310105683 0.478628670499366
0.568888888888888
0.0
0.538469310105683 0.478628670499366
0.906179845938664 0.236926885056182
Table 1: Nodes and weights for exercise [7].
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Transcribed Image Text:Xi Wi -0.906179845938664 0.236926885056182 -0.538469310105683 0.478628670499366 0.568888888888888 0.0 0.538469310105683 0.478628670499366 0.906179845938664 0.236926885056182 Table 1: Nodes and weights for exercise [7].
[7] Use the 5-point Gaussian quadrature formula to approximate
1
√ L
e
-x²
dx.
The nodes and weights are listed in Table 1.
The true value of the integrand is erf(1) ≈ 0.8427007929497148. What is
the percent error in your approximation?
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Transcribed Image Text:[7] Use the 5-point Gaussian quadrature formula to approximate 1 √ L e -x² dx. The nodes and weights are listed in Table 1. The true value of the integrand is erf(1) ≈ 0.8427007929497148. What is the percent error in your approximation?
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