114 reputation
8
bio website
location
age
visits member for 2 years, 2 months
seen Apr 9 at 15:36

Apr
7
comment Continuous superposition of bump functions
I forgot to add that with the pcw/s function you have recommended, I will have only one "bump". I am looking at getting a central bump and "satellite" bumps of smaller amplitude around it. I believe these are called compactons.
Apr
7
comment Continuous superposition of bump functions
@HenningMakhold Yes I thought about a piecewise function but decided against it in case in is not "discretized" correctly with finite difference schemes and such. The pcw/s function, however, needs to be three part and I tried that (will include code soon) with no success!
Apr
7
comment Continuous superposition of bump functions
@HenningMalkholm That was a good idea and I tried it. It would seem that the coefficient a would need to be a "curvature" type term? Right now I have discontinuities in my plot. See updated question. Thank you for your input!
Apr
7
revised Continuous superposition of bump functions
added 588 characters in body
Apr
7
comment Continuous superposition of bump functions
@fgp yes. Thank you for catching that. Working on translation as suggested by Henning Makholm below.
Apr
7
revised Continuous superposition of bump functions
added plot code
Apr
7
comment Continuous superposition of bump functions
@fgp apologies. On a semi regular basis, the engineer in me murderizes the mathematician. The x varies from 0 to L. I hope that provides clarity?
Apr
7
asked Continuous superposition of bump functions
Feb
10
awarded  Organizer
Feb
10
revised evaluate $\int\frac{3x}{\sqrt{1-2x}}dx$
Added a tag
Feb
10
suggested suggested edit on evaluate $\int\frac{3x}{\sqrt{1-2x}}dx$
Oct
31
revised rates of change with trigonometry
Edit should be provided instead of replying via "answer"
Oct
31
answered Adding sine waves of different phase, sin(π/2) + sin(3π/2)?
Oct
31
awarded  Citizen Patrol
Oct
31
suggested suggested edit on rates of change with trigonometry
Oct
25
comment Difference between Fourier series and Fourier transformation
@Dean Here is something that I found extremely useful for Fourier transforms. Link
Oct
25
comment Solve autonomous ODE with Mathematica
Do you have boundary conditions by any chance that you could use to plot the solution? {{w[x] -> -2 (-1 + Tanh[1/2 (-2 x - Sqrt[2] C[1])]^2)}} is what I got on Mathematica as well. What were you expecting?
Oct
21
awarded  Tumbleweed
Oct
14
awarded  Commentator
Oct
14
comment Numerical Integration ODE methods
You might also want to take a look at these entries in wikipedia 1 2 and this if you intend on using software to solve your ODEs eventually.