All Questions
Tagged with physics equation-solving
92
questions
0
votes
0
answers
40
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2D Projected Stocastic GPE Equation With Vortices
I am trying to solve the Projected Stochastic Gross-Pitaevskii equation with periodic boundary conditions from this paper https://arxiv.org/pdf/1905.05263. This equation can be found in https://...
- 341
0
votes
0
answers
54
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Stabilise equations for motion of Inextensible string subject to spatially non-uniform forces
I would like to simulate the motion of an inextensible membrane in 1D as an inextensible string subject to spatially-dependent body forces. For now, I would like it to be constrained at both ends. I ...
- 165
2
votes
2
answers
141
views
How to solve a matrix differential equation $\frac{d X}{dt} = i(X Y- Y^\dagger X)$?
In eq (21) on page-5 of this article, we have matrix
HEP = (\[Omega]/2)*{{-2*I, 1}, {1, 0}};
and I am interested in finding matrix ...
- 613
1
vote
0
answers
83
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How to decrease the computation timing while using NIntegrate?
I'm trying to calculate the $A$ and $F$ values by using this code,
...
1
vote
0
answers
97
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Implementation of a cavitation model
Problem formulation
Hi,
I'm following this reference and I am trying to reproduce Fig. 19:
The problem concerns an underwater shockwave, which hits the water-surface and produces a cavitation region. ...
- 159
3
votes
1
answer
142
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Varying Einstein-Hilbert action through xAct gives extra terms
I am trying to find the associated field equation by varying this action:
$$S=\int d^4x \sqrt{-g}(\kappa \mathcal{R}+\Lambda)$$
This should give me the below field equation when I vary above w.r.t the ...
- 2,433
1
vote
1
answer
239
views
Differential complex equations in cosmological problem
I want to solve a differential equation of second order with complex initial conditions. Despite I have wrote all the code with detail, I am still facing some problems I might want to review here. The ...
9
votes
4
answers
487
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Poincaré section of the particle motion near the black hole horizon
I am trying to recreate the Poincaré sections given in Figure 2 of this paper.
For this purpose, I use the following two methods:
Method1: Using ResourceFunction["ClickPoincarePlot2D"]
<...
- 2,433
3
votes
1
answer
213
views
How to create an interactive Poincare section from the given code?
Here we discussed Poincare section for perturbed string model taken from the paper Chaotic dynamics of a suspended string
in a gravitational background with magnetic field. We try to reproduce some ...
- 2,433
1
vote
3
answers
494
views
Solving Geodesics from Christoffel Symbols
I am somewhat new to using Mathematica and I am facing difficulties with a specific problem related to the geodesics of Einstein's field equation in a vacuum.
The metric I am working with is derived ...
- 11
1
vote
0
answers
54
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Stiffness problem which abruptly stops the evaluation
We have a Lagrangian and we found the EOM. We need to solve the EOM and find the Phase-space plot. However, we are facing a stiffness problem which abruptly stops the evaluation (...
- 2,644
1
vote
1
answer
91
views
Proving an expression from Mathematica which is clearly visible from Plots
I have the following Mathematica code:
...
- 2,433
5
votes
1
answer
191
views
Numerically finding a curve that satisfies an underdetermined set of equations
I am trying to determine a phase diagram along the lines of Fig 3. or Fig 4. of this pubilcation.
The curves plotted are binodals and are determined by the conditions of equality of chemical ...
- 357
2
votes
1
answer
115
views
Eigenfunction condition of time-independent Schrödinger equation
I'm trying to get the eigenfunctions and eigenvalues of the following one-dimensional Schrodinger equation: $$ -\frac{1}{2}\frac{d^2}{dx^2}\psi(x)+V(x)\psi(x)=E\psi(x)\,,$$ where the external ...
- 23
0
votes
0
answers
47
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Dealing with Precision Issues in FindRoot for Complex Equations
I'm currently working on a Mathematica code that involves using the FindRoot function to find the poles of the scattering matrix in an one dimentional potetial well and for that, I need to find the ...
