Questions tagged [parametric-functions]
Questions about explicit functions expressed in terms of independent variables, i.e. parameters. Including approaches for rewriting functions using different parameterizations.
751 questions
1 vote
0 answers
111 views
Parametric Plot 3D Surface Model
I'm trying to recreate this plot. Its over the interval $ u, v \in[0,2 \pi]$ My attempt is horrific. ...
- 5,094
3 votes
2 answers
202 views
Is there a better way to define the Gradient, Divergence and Laplacian of a curvilinear coordinate system?
I am trying to write a code to compute the gradient, divergence and the Laplacian of any curvilinear geometry. For any curvilinear coordinate system defined in (\xi,\theta), let X be the mapping ...
- 121
9 votes
2 answers
546 views
Numerical simulation of dynamical systems on torus: periodicity of variables
Suppose we have the following system of ODEs, ...
- 895
2 votes
2 answers
142 views
Definition of periodic parametric function
The parametric plot bellow is periodic for intervals {x, 0, 1}, {y, 0, 1}. It consist of two separate functions. But the functions are identical just one is shifted....
- 32.5k
1 vote
2 answers
190 views
ParametricRegion doesn't recognise BezierFunction as 3D
Problem I'm trying to make a MeshRegion from a bezier surface defined from an array of control points. Consider ...
- 4,293
1 vote
1 answer
181 views
ParametricNDSolve not returning the correct solution (and changes depending on the Method)
I am investigating the following parametric fourth order differential equation $Y^{(4)}(x)-\beta^4 Y(x)=0$ on the one-dimensional domain $[0,L]$ subject to four boundary conditions $Y(0)=0$, $Y(L)=0$, ...
- 95
5 votes
2 answers
411 views
Numerical approximation of implicit functions
I have an expression $t \equiv t(x)$, \begin{equation} t = 2^{-2+\frac{a}{2}} c^{1-\frac{a}{2}} \Gamma\left(-1+\frac{a}{2}, \frac{c}{2} x^2\right) \end{equation} where $\Gamma\left(-1+\frac{a}{2}, \...
- 787
2 votes
1 answer
316 views
Plotting wavy curve in Mathematica
I want to create a geometry with a wavy circumference, as shown in the figure below. This waviness depends on a parameter "n", and the equation for the curve is given as: ...
- 121