FOURIER SERIES PACKAGE SYMBOL

NInverseFourierCosTransform

gives a numerical approximation to the inverse Fourier cosine transform of expr evaluated at the numerical value t, where expr is a function of .

DetailsDetails

• To use , you first need to load the Fourier Series Package using Needs["FourierSeries`"].
• The numerical approximation to the inverse Fourier cosine transform of expr is by default defined to be NIntegrate[expr Cos[ t], {, 0, ∞}].
• Different choices for the definition of the inverse Fourier cosine transform can be specified using the option FourierParameters.
• With the setting FourierParameters->{a, b}, the inverse Fourier cosine transform computed by is 2NIntegrate[expr Cos[b t], {, 0, ∞}].
• The parameter b in the setting FourierParameters->{a, b} must be numeric.
• In addition to the option FourierParameters, can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

Numerical approximation for an inverse Fourier cosine transform:

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Compare with the answer from symbolic evaluation:

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