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  • 0 posts edited
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  • 13 votes cast
Apr
12
comment Different use of approximate equality symbols
Thank you very much! What about Taylor series and approximate values of variables. Let's say,respectively: $f(x)\simeq f(x_0)+f'(x_0)(x-x_0)$; and $r=aB/2\simeq 2$?
Apr
12
comment Different use of approximate equality symbols
What would be a possible choice of the different meaning that makes use of all three? Thanks!
Jan
26
comment Linear differential system of Bessel equations
Thanks for your answer. Could you please quote the code you used on Mathematica as well? That would help a lot!
Jan
11
comment Particular solution to nonhomogeneneous 2nd order ODE
If that counts, anyway, I was looking for the general solution, without specified bcs. I know that one must be aware of its significance and that this cannot be done for pdes, etc. But in my specific case I want to keep the freedom to study different bcs.
Jan
11
comment Particular solution to nonhomogeneneous 2nd order ODE
The minus sign is in front of the wrong term, I guess.
Jan
11
comment What is this ODE called and how to solve it
Laplacian of $g(r)$, but about the last term?
Jan
11
comment What is this ODE called and how to solve it
@achillehui Yes, thanks! Edited.
Jan
11
comment Particular solution to nonhomogeneneous 2nd order ODE
@Pragabhava Could you expand on that please?
Nov
10
comment Does this common PDE have a name?
I edited the equation to make my issue clearer.
Nov
10
comment Does this common PDE have a name?
My concern is the following: the Helmoltz equation does admit a solution with products of trigonometric functions and corresponding bessel J functions. The one I wrote, with a minus instead of a plus, does not admit such solutions. Infact admits exponential solutions, because of its structure. Therefore, I cannot see how they are the same thing.
Nov
9
comment Does this common PDE have a name?
I can't find it in this form though, could you help me with that please? Thanks!
Nov
9
comment Does this common PDE have a name?
Doesnt' Helmoltz equation have a plus in front of $u$?
Nov
9
comment Logarithmic expansion with cosines
Thanks! But what happens to the first term of the r.h.s.?
Sep
14
comment Line integral of conservative field in polar coordinates
This does not answer the question, since this seems in agreement with the first derivation, isn't it?
Sep
14
comment Line integral of conservative field in polar coordinates
Although...math.stackexchange.com/questions/696637/…
Jul
8
comment 2D Poisson equation and Bessel Functions
Thanks a lot, do you think it does make sense though to use Hankel Transform, or should I expand in Fourier as usual and express $J_2$ that way? Would this work as well?
Jun
15
comment Simple Laplace equation with peculiar boundary condition
Won't the fact that I am neglecting the terms with $k<0$ in the Fourier series of $\cos(\theta/2)$ give the wrong result?
Jun
14
comment Fourier coefficients of $\cos(x/2)$
In the interval $[0,2\pi]$
Jun
13
comment Simple Laplace equation with peculiar boundary condition
Well, I guess it is similar to what I meant to do with my sum, but the k/2. But, will the $R^{-k}$ give any problems in finding the coefficients $A_k$?
Dec
13
comment Finite differences and conservation law
I edited the question to avoid getting too much into the detail of my specific problem, I hope that increases the interest.