Questions tagged [iteration]
The iteration tag has no usage guidance.
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Mathematica does not show anything after running for higher iterations
Consider a BVP: $y^{\prime\prime}=\frac{3}{2}y(t)^{2}$ with the boundary conditions $y(0)=4$ and $y(1)=1$. The exact solution is $y(t)=\frac{4}{(1+t)^{2}}$ and the initial guess is $y(t)=4-3t$. Now I ...
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Symbolic nest expressions
I'm trying to understand how to use symbolic expressions as arguments. The following example represents my problem:
...
- 153
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128
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Solve integral equation by iteration
For[{n = 1, y[0][x_] = 1}, n < 4, n++,
y[n][x_] = 1 + Integrate[y[n - 1][t]^2 + t^2, {t, 0, x}];
Print[{n, y[n][t]}]]
here how can I get table of values ...
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Simple Birth Death Process
I am trying to implement simple birth death process. Why my code does not work? Any suggestion. Thanks. Cross posted http://community.wolfram.com/groups/-/m/t/1205656
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How can I iterate this process?
a = RandomVariate[UniformDistribution[{0, 1}]];
b = RandomVariate[UniformDistribution[{0, 1}]];
c = RandomVariate[UniformDistribution[{0, 1}]];
a + a b + a b c
...
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342
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4
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120
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Iterative comparison between different vectors
I have some soccer outcomes for each league round to import in a data form similar to that:
...
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two tier compound interest problem
I am trying to make sense of how mortgage repayment figures are calculated for two tier mortgages, where you fix your interest rate for a certain period and after that period, you fall back to the SVR ...
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Solving an integral vectorial equation by iterations
I'm triying to solve a problem like the following:
$$
\binom{f(t)}{g(t)}=\binom{f_0(t)}{g_0(t)}+\lambda\int_0^t ds\hat{A}(s)\binom{f(s)}{g(s)},
$$
where $f_0(t),g_0(t)$ and $\hat{A}(t)$ (a $2\times2$ ...
- 491
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Nesting differential operators
Suppose I define differential operators $d=x\frac{\partial}{\partial x}$ and $L=g(x)d^4$ (so that $L(f)=g(x)(x\frac{\partial}{\partial x})^4f$ ) and I want to expand the differential operator $L=a_0+...
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FoldList with Composition and parameter
Good day to everyone!
I have two (just for simple example) functions and they compose a map:
...
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Chebyshev polynomials
How could I write the Chebyshev polynomial as a function that uses Nest? Also, how could I write it using recursion?
Furthermore, how can I show that $T_n(x)=\...
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Generating a $N^{th}$ iterative line graph from the adjacency matrix $M$. How to generate $M$?
I have a unit cell, and I would like to generate a lattice but in iterative order.
For instance, consider the following example--
The unit cell is (zero iteration)
This figure is generated by a ...
- 683
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71
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Plotting iterates of a piecewise defined map
This is a follow up question to the one I asked here. I’ve succeeded in figuring out how to plot the first image of my piecewise defined transformation $T: [-1,1]^2 \to [-1,1]^2$, but now I want to ...
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In an iterative process, how does one simply bypass a step producing an error? [closed]
This is undoubtedly rather elementary, but the remedy escapes me presently (and does not, as far as I can see, readily appear in Help).
I'm engaged in an iterative process with several computations ...
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How do I construct and plot functions properly using NestList?
I am trying to construct a function using NestList and plot the values. Although the individually used and defined functions in my notebook seem to do the right ...
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Create a new matrix from an existing matrix and then plot it
I have some code will test an equation and finds values for (n,j,k,l) in which the expression is true and puts them in the matrix - here is the code.
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Iterating over a list and defining the range accordingly
I have the following list,
l = {{"a", "b"}, {"a", "b"}, {"c", "d"}, {"e", "f"}, {"e", "f"},
{"x", "y", "z"}, {"m", "n", "o"}, {"p", "q", "s"}};
for each ...
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Nest expressions of several arguments
I have the following function:
Q[r_, f_, s0_] := Q[r, f, s0] = F[r, s0] D[f[s0], s0]
By calling
Q[r, Q[r, f, s0], s0]
I ...
- 153
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How to plot an iterative function of y(n+1) against y(n) in order to analyze the convergence of real power towers? [closed]
I'm new to mathematica and was wondering how to plot an iterative graph for power towers. If there is a power tower y= x^x^x^x^x^x^... we can rewrite it as an iterative equation in the following way:
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