In the black-body radiation problem the following integral appears: Z ? 0 x 3 e x ?
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Question:
In the black-body radiation problem the following integral appears:
Z ? 0 x 3 e x ? 1 dx = ? 4 15 .
a) Compute this integral using the Gauss-Laguerre quadrature method for n=3 evaluation points.
b) For this estimation, plot the relative error (r(n) = Iestimated(n)/Iexact) as a function of the evaluation points, with n = [2, 3, ..., 10]
Hint: For the Gauss-Laguerre method, the weights are given by:
wk = xk (n + 1)2 [Ln+1(xk)]2
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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