Questions tagged [integral-transforms]
Questions about transforms of functions by means of integration, such as Fourier transforms and Laplace transforms. Many integral transforms can be inverted by means of another integral transform.
236 questions
2 votes
1 answer
90 views
Definition of inverse Laplace transform [duplicate]
Although there is a ready-made code for the inverse Laplace transform in Mathematica, I want to manually write the code to define the inverse Laplace transform so I can modify it. This is my attempt: <...
- 109
1 vote
0 answers
107 views
BilateralLaplaceTransform is seemingly broken?
It does not work for me even on the simplest elementary functions. BilateralLaplaceTransform[Sin[t], t, x] ...
- 3,862
9 votes
1 answer
224 views
InverseMellinTransform unexpected result after Simplify
I'm having unexpected difference applying inverse Mellin transform after a simple algebraic rearrangement (1/(-1 + 2 s) vs ...
- 7,681
2 votes
1 answer
187 views
Errors with the numerical inverse Laplace transform
I want to calculate numerically the inverse Laplace transform by the "Piessens" method of a complicated function given in terms of a numerical integral. However errors occur for functions ...
- 174
2 votes
1 answer
193 views
LaplaceTransform and DSolve handles PDE well in version 14, but not in 13.3
I'm facing an error when trying to solve a simple Laplace-transformed PDE with one basic boundary condition, followed by applying the InverseLaplaceTransform. The ...
2 votes
1 answer
282 views
Inverse Laplace transform does not give a soluton
I am trying to derive the inverse Laplace transform of the following Laplace transform: $$ \mathcal{L}(d, \sigma; t) = \left(\sec \left(\frac{\pi d}{2}\right) \left(\left(\sigma ^4 t^2-1\right)^{-d/2}...
- 25
0 votes
2 answers
175 views
Integration with respect to functions
I observe some strange behaviour of Mathematica when pulling functions into the integrator. I know that Mathematica's capabilities are limited when computing Stieltje or Lebesgue Integrals. But even ...
- 187
3 votes
2 answers
167 views
InverseLaplaceTransform returns the input
Initially, I was trying to invert the following expression: $$ \frac{e^{-a\sqrt s}}{s-c} $$ and got the following result: ...
- 31