Linked Questions
10 questions linked to/from How to define a differential operator?
39
votes
6
answers
8k
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Having the derivative be an operator
How do I create an operator which acts like a derivative to everything to the right of it:
for example:
$ \left( \partial_x + \partial_y + z \right ) x \psi $
How do I make that evaluate to:
$x \...
- 1,581
11
votes
3
answers
7k
views
Using D to find a symbolic derivative
I need to do the following:
Define a function
Take the derivative of this function and have a look at the symoblic representation
Substitute in some values
With the bonus that I want to use the ...
- 71.2k
11
votes
5
answers
256
views
How can I translate a MathWorld statement into Mathematica syntax?
The Wolfram Mathworld has the following statement here:
A derivative identity for expressing higher order modified Bessel functions in terms of $I_0(x)$ is $I_n(x)=T_n(d/(dx))I_0(x)$
However, I'm ...
- 624
4
votes
2
answers
2k
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How to define a differential operator in Mathematica? [duplicate]
I want to define an operator $(\partial_{t}+1)^{2}=\partial_{t}\partial_{t}+2\partial_{t}+1$. Then, I want it to act on $t$. My code looks like this:
...
- 53
3
votes
2
answers
349
views
How to define custom differential operator using the arguments of the expression?
This is essentially a follow-up to the question/answer here: How to define a differential operator?
Suppose I wish to define an operator DiffOp, e.g.,
...
1
vote
1
answer
233
views
Define operator with special characters [duplicate]
I have looked here which describes how to define operators. I was wondering whether there was a way to assign thes operators to special characters? eg Let $\odot:=(a+b)(ab),$ so ...
- 8,920
0
votes
1
answer
292
views
How can I make Mathematica compute an operator?
I would like Mathematica to write down the Laplace-Beltrami operator in $R^N$
$$
\Delta f = \frac{\partial^2 f}{\partial r^2} + \frac{N-1}{r} \frac{\partial f}{\partial r} + \frac{1}{r^2} \delta f,
$...
3
votes
1
answer
130
views
Superposition of the differential operators
My problem can be easily solved without Mathematica, however, I am curious how to do it in Mathematica. Moreover, I can be stuck with a similar, but more cumbersome problems in the future.
Following ...
- 607
0
votes
0
answers
89
views
Symbolic differentiation of an arbitrary function [duplicate]
I often work with expressions in one or more arbitrary function, and would like to get simplified expressions for their derivatives.
For example I would like to define the normal to a graph as ...
0
votes
0
answers
86
views
How do I define an abstract differential operator on mathematica?
I was wondering if I can define an abstract differential operator $X$, that is just an operator that when applied to any function, it satisfies the Leibniz rule, is linear and gives $0$ when applied ...
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