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1d
comment Is it possible to make a mathematica program which can be viewed online by anyone?
This asks me to sign in with my Wolfram ID and password. I guess "public" would need to have a Wolfram ID to access this manipulate object?
Feb
7
comment Using NDSolve to find particle trajectory
what is the difference with this. In the latter answer, the author did not have to make m a 3D vector. In the current problem, is it the addition of q*E that leads to two matrices that may not be "added" together?
Feb
7
comment Using NDSolve to find particle trajectory
EquationSimplification->"Residual" is magic?
Feb
7
comment Using NDSolve to find particle trajectory
I haven't worked with vectors in Mathematica so I may not be able to help with that. However, your ParametricPlot3D has incorrect syntax. Assuming that pos is the position, is your initial acceleration zero?
Feb
6
comment Lyapunov Exponent
Yes, this package is golden! Its awesome.
Feb
6
comment WhenEvent and Resetting of Variable in PDE when operation succeeds
@march Indeed! Wow! Was that an easy fix or what...
Feb
6
comment WhenEvent and Resetting of Variable in PDE when operation succeeds
@Dr.belisarius So, how do I proceed? I am sorry but I do not have a clue. What you say makes sense.
Feb
3
comment Phase Portrait to Differential Equation
@Searke Good point. However, I do mention given data that made the phase portrait.
Feb
3
comment Phase Portrait to Differential Equation
Curious to know why this received a "close" request?
Jan
30
comment How can I solve a 3D heat transfer partial differential equation?
Try looking up NDSolve and NDSolveValue. They both demonstrate the heat equation in (x,y,t). You should be able to extend that to (x,y,z,t). Two-Dim code.
Jan
16
comment Heat convection differential equations from 1952 - Mathematica “fails to converge”
@xzczd Could you share a link (if on SE, i.e) to the issue you were having with the Young-Laplace equation? I would be interested to look at it. I am into analytical fluid dynamics and heat transfer and mathematica has revolutionized it for me!
Jan
16
comment How do I solve a PDE with a strange boundary condition?
@xzczdYou worked this problem from a robust fundamental theory put forth by Boris Galerkin!! Bad news for the folks at mathematica ;).. for you'll put them out of business ;)!!! With your permission, I would like to demonstrate your answer to my undergraduate class (that I teach) on FEM.
Jan
16
comment Heat convection differential equations from 1952 - Mathematica “fails to converge”
@xzczd Yes, this (both F and H) will be asymptotic in the far field. I found a mathematica file that uses the Shooting method by expressing one of these coupled variables as an initial condition. Alas, I do not have the time to express this here because of a lack of time today! I'll try to get to it in the evening.
Jan
15
comment Heat convection differential equations from 1952 - Mathematica “fails to converge”
I just found this. I'll experiment with this and add more detail to this problem.
Nov
13
comment Solution of Poisson equation with two regions
Can this be a case for "matched asymptotics" (perturbation methods)?.. or am I over-complicating the problem?
Oct
31
comment Shooting Method in Mathematica
I am curious to know what physics this is capturing. Looks like Falkner-Skan... boundary layer phenomenon? Have you tried NDSolve. I realize this isn't what you may have asked but as a lover of NDSolve... I just had to suggest that.
Oct
5
comment Time evolution/dynamics of circular plate with hole (Biharmonic equation and stiffness)
As mentioned, I am posting my comment about this answer and the question. The question itself, for those who are familiar with solid mechanics, is a fundamental problem in solid mechanics. The answer here allows me to juxtapose the time-evolution behavior of an annular plate with that obtained from menu/GUI driven commercial FEA solvers. It turns out that, yet again, for fundamental problems in mechanics (solid/fluid), Mathematica outdoes what other commercial solvers would do. The main problem I was trying to solve was the deflection of an orifice plate (4th order biharmonic eqn).
Sep
26
comment Time evolution/dynamics of circular plate with hole (Biharmonic equation and stiffness)
Thank you for both your detailed answers. I will post a detailed comment soon. I love the analytical solution, personally!
Sep
24
comment FEM Solution desired for “Plate with orifice” deflection: Application of Boundary Conditions and use of Regions
Thank you! I never tried DSolve for this problem.
Sep
23
comment Time evolution/dynamics of circular plate with hole (Biharmonic equation and stiffness)
@bbgodfrey I am not sure. However, I am curious to know what the deflection (w) is at "long times". If for a negative time derivative, it is around the same value as the question this refers to, I would say, YES, the time derivative should be reversed. I hope that make sense? Thank you for pointing out that possible source of error.