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Newest 'differential-equations' Questions - Mathematica Stack Exchange
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Learn more about TeamsQuestions tagged [differential-equations]
Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
7,960 questions
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0
votes
0
answers
8
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Values of BCs changes after the calculation
I am trying to numerically solve the following coupling problem with z = 0.
.
However, the values of BCs change after the calculation. Also, it gives the following messages.
NDSolveValue::pdord: Some ...
1
vote
0
answers
14
views
Why is this code not correct when following another question directly?
I have the following deterministic system:
...
-1
votes
0
answers
24
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Why is this delayed differential system giving errors in plotting the solution?
I have the following system:
\begin{aligned}
d S(t)&=\big[\Lambda-\beta(1-\rho)(1-\xi))f(S(t))g(I(t))-(\mu+\rho+\xi)S(t)+\rho S(t-\tau_1)e^{-\mu \tau_1}\\
&\;\;\;\;+\theta I(t-\tau_2)e^{-\mu \...
1
vote
0
answers
48
views
How to solve PDE stationary problem in bipolar coordinates?
Let the transfer of heat or substance (change of substance concentration) in a thin flat object be realized. The area between two non-concentric circles in the plane, representing, for example, a ...
1
vote
1
answer
65
views
Help validating the solution to a nonlinear ODE: Does it solves other non-linear ODEs too? [closed]
I am working right now in this another question by doing examples and I got stuck in proving the results I found through Wolfram-Alpha are right.
The main differential equation is the following ODE:
$$...
-3
votes
0
answers
83
views
How to NDSolve the same equations many times with different givens [closed]
I have this equation:
r''[\[Tau]] - r'[\[Tau]] \[Phi]'[\[Tau]]^2 + (1 + mstar)/
r[\[Tau]]^2 == 0
I want to solve it twice, each time with different initial ...
4
votes
1
answer
115
views
How to solve these delay differential equations?
Consider:
System 1):
\begin{align}
\frac{dc}{dt}&=\frac{Au}{c+1}-\frac{\delta u c}{c+c_2}-c\\[1ex]
\frac{du}{dt}&=\left(\frac{Bc}{c+c_1}-u(t-\tau)\right)u - \sigma u
\end{align}
Let the ...
4
votes
1
answer
192
views
Generating Poincaré sections
I would like to reproduce the Poincaré sections presented in this and this papers, which look like
The figures are for energy values of E=0.2 (a) and E=0.25 (b) in the Hamiltonian, which reads
$$H=\...
2
votes
0
answers
127
views
How can I create a zebra stripe pattern? [closed]
This picture is from the public domain but does not quite look so real...
I assume that there is a 'decently simple' and known solution but I have not found a good approach by internet research.
...
7
votes
2
answers
668
views
General form of Green's identity used by Mathematica
modified
Mathematica FiniteElementMethod methods use Green's identity in a more general form:
The parameter $c$ (scalar or matrix) may depend on ...
6
votes
1
answer
176
views
How to solve a system of differential equations with time-varying delay?
I'm new to differential equations with delay, and I'm trying to numerically solve the following system. The delays $\tau_i(t)$ are smooth and bounded functions of time:
$$
S'(t) = d(t)(S_0(t) - S(t)) -...
4
votes
2
answers
385
views
Animation of trajectories from NBodySimulation
NBodySimulation example code gives below animation, but there are no lines depicted.
How should I modify the code to also plot the trajectories of bodies?
...
2
votes
1
answer
115
views
Why does NDSolve fail or slow down when simulating a driven JC model with time-dependent terms, even when the drive is off?
I'm performing a numerical check of an effective Hamiltonian transformation applied to a driven Jaynes–Cummings (JC) model. After applying a rotating frame transformation and rotating-wave ...
2
votes
1
answer
119
views
DSolve does not want to solve my set of differential equations
I need so solve the following set of differential equations for the functions $\xi^t(t,x_1,x_2,x_3),\xi^1(t,x_1,x_2,x_3),\xi^2(t,x_1,x_2,x_3),\xi^3(t,x_1,x_2,x_3)$: $$\begin{align} &\partial_{t}\...
1
vote
0
answers
69
views
How to reduce the size of the output `InterpolatingFunction` from `NDSolve`? [closed]
This is my codes to calculate a wave equation by NDSolveValue:
...
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