NInverseFourierSinTransform


gives a numerical approximation to the inverse Fourier sine 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 sine transform of expr is by default defined to be NIntegrate[expr Sin[ t], {, 0, ∞}].
  • Different choices for the definition of the inverse Fourier sine transform can be specified using the option FourierParameters.
  • With the setting FourierParameters->{a, b}, the inverse Fourier sine transform computed by is 2NIntegrate[expr Sin[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)

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Numerical approximation for an inverse Fourier sine transform:

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Compare with the answer from symbolic evaluation:

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