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Apr
17
comment Is there a similarity solution for this PDE? (with discussion, kindly check)
Have you checked out "Witleski" and his latest book on Amazon. He does show an example for similarity solution for an evolution equation with only the surface tension term. Are you working on evaporating liquid films?
Feb
3
comment Construct differential equation given the phase portrait (non-linear pendulum)
Converse to my question, is there a way I can change my pendulum differential equation towards a certain phase portrait (without a manual parametric study)? For example, I would like to decrease the number of spirals. Clearly, I would need to find a balance between the damping and frequency and forcing. What kind of stability analysis would I be performing?
Feb
3
comment Construct differential equation given the phase portrait (non-linear pendulum)
So there is no way I can "reverse engineer" the pendulum equation from this?
Feb
3
asked Construct differential equation given the phase portrait (non-linear pendulum)
Jul
22
awarded  Announcer
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 approved edit on evaluate $\int\frac{3x}{\sqrt{1-2x}}dx$
Oct
31
revised Rates of increase of the angle of inclination and of the distance from the object
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 approved edit on Rates of increase of the angle of inclination and of the distance from the object