All Questions
Tagged with mathematica matlab
58
questions
3
votes
0
answers
89
views
How to find eigenvalues of a linear operator consists of laplacian?
I have the following matrix of linear operator consists of Laplacian \begin{bmatrix}0&1&0\\\Delta&\Delta& 0\\0&0&\Delta\end{bmatrix}
acting on \begin{bmatrix}w\\w_t\\u\end{...
- 31
0
votes
0
answers
34
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please help me with mathlab code or mathematical of the integration of this vibrational partition function shown below to arrive at the answer
I want the code to integrate equation(1) or (2)over the limits using mathematical or mathlab to get equation (3) as the answer of Z vibrational partition function , giving the following additional ...
1
vote
1
answer
307
views
How do I plot 3D intersections of a system of inequalities using Matlab or Mathematica?
My question is inspired by the problem described here. Let us consider for example the following system of inequalities ($x,y,z\in\mathbb{R}$):
$x+y+z>0$
$x^3+y^3+z^3<0$
$x^5+y^5+z^5>0$
How ...
- 1,594
0
votes
0
answers
139
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Finding Roots of a Polynomial in a Given Range
I want to be able to analyze complicated polynomials (degree $6,7$ etc.) and find out if they have roots in a given range. How do I proceed to do this using Mathematica, Matlab, or analytically(if ...
user911589
1
vote
1
answer
129
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Analytical solution for a difficult nonlinear PDE
Is it possible to compute the analytical solution for this nonlinear pde? It doesn't seems to work with Sympy but it doesn't i can do it with it. The point is to prove that the convergeance order of ...
- 71
2
votes
1
answer
559
views
Calculate period doubling bifurcation points
For a given logistic family $f_{\mu}(x)= \mu*x*(1-x),$ where $\mu \in [0, 4]$ and $x \in [0,1].$ This family undergoes the period doubling bifurcation. Let $\mu_{n}$ denote the value of $\mu$ where a $...
- 68
1
vote
0
answers
91
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Solving coupled integral equations
I would like to solve coupled integral equations of following form:
$$
\begin{cases}
f(0,n) = 1 + \displaystyle\int\limits_{0}^{\infty} K(n,p)f(1,p)dp \\
f(1,n) = g(n) + \displaystyle\int\limits_{0}^{...
-1
votes
3
answers
54
views
plotting a function i
How can i plot bellow function in MAPLE or MATHEMATICA or MATLAB?
$$y=0.05+0.1\cdot e^{0.01x}\cdot \cos(0.2\cdot x)$$
while $x$ can be in the range of $ -350$ to $+350$ or less.
Thank you
0
votes
0
answers
217
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Computational examples in differential geometry using Mathematica, Matlab, Maple etc. with visualization possible
I want to master the computing "apparatus" of differential geometry. Some theoretical sections are already very difficult to assimilate, and without visual calculations it is almost impossible to ...
- 731
0
votes
0
answers
260
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Function for calculating the inverse of the incomplete elliptic integral of the first kind in Legendre normal form.
The matlab function ellipj(U,M) calculate the inverse of the trigonometric form. Is there a matlab function for calculating the inverse of the legender normal form of the incomplete elliptic integral?
- 25
0
votes
2
answers
177
views
General 2nd order ODE with non-constant coefficient
I'm trying to solve the general case of second order ODE: $y''(t) + p(t)y'(t) + q(t)y(t) = 0$.
where $p(t)$ and $q(t)$ are polynomials divides contains some symbolic constant and $t$,$t^2$,$t^3$ and $...
- 13
2
votes
1
answer
176
views
On the function $\chi_{\{x \le F(y)\}}(x,y)$ where $F$ is Lipschitz
Let $F:\mathbb{R} \to \mathbb{R}$ be a $L$-Lipschitz function.
Consider the function
$$G(x,y) = \chi_{\{x \le F(y)\}}(x,y),$$
where $\chi$ is the indicator function.
How can I plot this function ...
- 297
1
vote
0
answers
797
views
best way to plot the 3D shape made by many intersecting f(x,y,z) functions?
What's the best way to use a computer to plot the 3D shape made by many intersecting f(x,y,z) functions?
I was trying to do something like the following, except I still have not idea what the shape ...
- 351
0
votes
2
answers
470
views
Solve ODE for real free falling: $y(x)^2\cdot y^{\prime\prime}(x)]=4\cdot 10^{14}$
I am trying to describe the position of a free falling ball by gravity:
if
$x$ is the time in seconds,
$y$ is the position of the falling ball,
$y^{\prime\prime}(x)$ is its acceleration
then
$$
F=G\...
- 25
1
vote
1
answer
69
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Interactive math software for polynomial geometry
I've found this Wolfram Demonstrations applet illustrating Sendov's Conjecture very interesting to play around with and have been working on writing my own version in the MATLAB language. I thought ...
- 850