# Tag Info

Accepted

### Mathematica and MATLAB giving different results from inverse Laplace transform

You missed one term in Matlab. den=[1,4,2,3,0]; and not den=[1,4,2,3]; The order is important in Matlab. Since you do not have ...
• 149k
Accepted

### How to set up a spherically symmetric Fourier transform?

Summary: To perform the 3D Fourier Transform of a spherically symmetric function $f(r)$ in Mathematica, use the command (4 Pi)/k FourierSinTransform[f[r] r, r, k] ...
• 15.3k

### Implement finite Fourier transforms

This post contains several code blocks, you can copy them easily with the help of importCode. The following is my implementation for finite Fourier transforms. ...
• 67.6k
Accepted

### Wrong result of Laplace Transformation

Your integral is wrong. Laplace transform is defined from $0$ to $\infty$ not from $-\infty$ to $\infty$. The 2-sided Laplace transform is defined from $-\infty$ to $\infty$ but that is not the ...
• 149k

### Package for fast spherical harmonic transform in Mathematica?

I am aware that my answer would not be accepted because OP explicitly demanded a FFT-like method. I am aware of the fact that the method is not very fast either. However, it is so simple that I do ...
• 19.3k
Accepted

### How can I invert a Laplace transform numerically?

As of v12.2, InverseLaplaceTransform supports numeric Laplace inversion. In addition, there exist at least 6 Mathematica packages for numeric inverse Laplace ...
• 67.6k

### Solving partial differential equation involving Hilbert transform

I used the method of solving integro-differential equations proposed by Michael E2 on Solving an integro-differential equation with Mathematica I added new options to his code to solve this problem. ...
• 47.7k

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• 1,950
Accepted

### Correct way of simplifying the result of an integral

Many times Mathematica gives enormous results to simple problems If Simplify still does not help reduce the antiderivative to what you like, you could always try ...
• 149k
Accepted

Maybe: ...
• 14.9k

### How to obtain that result of the integral in Mathematica?

It's a Fourier integral. With those, Mathematica can confidently venture into generalized function territory and yield things like DiracDelta (hazardous in general)....
• 13.9k

### Mathematica and MATLAB giving different results from inverse Laplace transform

With Mathematica you can also do the following ...
• 1,950

As it explained in tutorials functions Radon and InverseRadon are supposed to be used with images only and not with arbitrary ...
• 47.7k

• 19.3k
Accepted

### LaplaceTransform works well with x[t], but doesn't recognize x[1][t], how to make it works for x[1][t]?

Obviously a bug. (If I guess it right, it's introduced in v12.2 together with this bug. ) v9.0.1 gives the desired result: A possible fix is turning to the method mentioned here: ...
• 67.6k
Accepted

### How to let Mathematica return impulse or Dirac delta functions when computing integrals?

If you use Dirac or Heaviside functions explicitly in your expression, Mathematica figures out that you're working with generalized functions. Unfortunately, it doesn't always work the other way: ...
• 13.9k
Accepted

### How to do continuous Fourier transform?

It looks like Mathematica can do this. Define something like this (I've simplified your version slightly) ...
• 16.8k
Accepted

### Finding the global maximum of a function

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• 161k

As this has come up in the comments, somebody might be interested at least in the discrete version as described here: discrete radon transform: getRadonLinesComped[] is the (compiled) function that ...
• 1,255

### Inverse Laplace Transform of Hypergeometric function

TL;DR: Convert to a MeijerG function using MeijerGReduce and apply the general formula found at : https://functions.wolfram.com/HypergeometricFunctions/MeijerG/22/...
• 5,947
Accepted

### Evaluating FourierTransform like integral manually

It looks like OP is interested in seeing how the integral can be done without using a black box like FourierTransform function. As mentioned in the comments, when ...
• 12.1k
Accepted

### Inverse Laplace transform of this complicated function

This post contains several code blocks, you can copy them easily with the help of importCode. As already mentioned in the comment above, the deduction of $(1)$ is ...
• 67.6k

### Mathematica and MATLAB giving different results from inverse Laplace transform

With Mathematica, I get significantly different results than your Mathematica results. I do not have access to matlab nor know whether the matlab code shown is correct. ...
• 161k

### How to calculate an iterated derivative in Mathematica?

You are basically differentiating with respect to Log[x], which is possible using the ResourceFunction "ChainD": ...
• 131k

### 3D Fourier transform of 1/r^2

Roman provides a perfect answer to the OP question. However, user64494 has some reservations claiming that the Fourier transform does not exist using as an argument calculations for the \$\vec q=(1,1,1)...
• 19.3k
Accepted

### Differences in Mathematica's behaviour with identical functions

By typing 1.2*10^5 you are telling Mathematica to do things in floating point. Change this to 120000 and you get the desired exact form. To make it plot faster use Set (shortcut =) rather than ...
• 69.5k