Questions tagged [difference-equations]
Tag for the usage of RSolve, RecurrenceTable, DifferenceRoot, and other functions related to difference equations.
207
questions
10
votes
1answer
696 views
Is it possible to find a limit of a sequence given by its recurrence relation?
I need to calculate a limit of a sequence given by its recurrence relation. I tried the following:
...
6
votes
2answers
192 views
RSolve gives a Context::ssle error
Bug introduced in 9.0 or earlier and fixed in 10.0
I want to solve the following recurrence equation
RSolve[{(k + 2) c[k + 2] q^(k + 1) - c[k] == 0}, c[k], k]
...
2
votes
0answers
192 views
RSolve and incomplete gamma function
I am interested in how Mathematica uses the incomplete gamma function to solve difference equations. For example, if we have this inhomogeneous, 2nd order equation and use ...
6
votes
1answer
230 views
RSolve[{y[0] == y0, y[t + 1] == (1 - (t + 1)/100) y[t]}, y[t], t]
When I evaluate this code:
RSolve[{y[0] == y0, y[t + 1] == (1 - (t + 1)/100) y[t]}, y[t], t]
I get an RSolve::bvnul error. I don't understand why.
Yet, if I ...
4
votes
3answers
2k views
Nonlinear recurrence relation
I entered the following recurrence relation into RSolve and it just gave the question back to me. $$a_{n+1} = \frac{(1+a_n +(a_{n−1})^3)} 3$$
Is there another way ...
3
votes
0answers
146 views
A recurrence equation that can be solved in version 7 but not in version 8
Backslide introduced in 8.0, fixed at least in 9.0.1.
A friend of mine showed me this code sample:
...
9
votes
1answer
8k views
Bifurcation Diagram for 1D Map
Continuing with the same question I have posted earlier I would like to find the equation of the stable fixed point curve using my graph, i.e. from the curve somehow find the equation for $x=f(x)$. I ...
