All Questions
Tagged with recursion equation-solving
62
questions
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46
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How to Set Precision for an RSOLVE Problem
The following code was working fine -- now it produces errors. I originally built this in ver 13.1 and I'm now running ver 14. I think I'm getting machine precision errors after k=11 that were not ...
- 1,773
3
votes
2
answers
61
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RSolve does not evaluate this recursion with two boundary conditions
I am using RSolve to solve for a function defined recursively, with two boundary conditions:
First boundary condition describes the relationship between $f(1)$ and $f(0)$
Second boundary condition ...
- 131
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63
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Recursion limit for NDSolve
I have a fairly complex equation containing many terms, I can use the NDSolve for solving the differential equation for lesser terms (6400ish). But can't do it for ...
- 21
3
votes
2
answers
222
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Can Mathematica simplify an ordinary differential equation (ODE) by assuming a power series solution and obtain the recurrence relation?
I have an ordinary differential equation and want to solve it using power series as ψ[x_] = Sum[Subscript[a, n] x^n, {n, 0, ∞}] to obtain the recurrence relation ...
- 63
1
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57
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Solving a System of Recursively Defined Equations in Mathematica
I am trying to solve a system of equations in Mathematica where the variables are recursively defined. The system represents a probability distribution, and I want to find the values of the variables ...
0
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3
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112
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Calculate Bernoulli numbers ( with a twist) [closed]
Mathematica has an inbuilt function BernoulliB that calculates $B_n$ for which,
$$\frac{t} {\left(e^t-1\right)}=\sum_{n=0}^{\infty} \frac{B_n}{n !}t^n $$
I need to ...
- 496
0
votes
1
answer
135
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Kernel crashes after long iterations
I am trying to get a numerical root of a function defined as below. But after some large recursion the kernel get crashed. But for relatively low recursion(10000) that does not make any problem. But I ...
- 11
1
vote
1
answer
117
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RSolve with integer and boolean variable
I have a recurrence relation with two variables $i, b$ where
$i \in \{0, \ldots, n-1\}$ for some parameter $n \in \mathbb{N}$; and $b\in \{0,1\}$.
I tried to solve it using RSolve, but the function ...
- 251
2
votes
3
answers
162
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Solving equation with delay term
I am trying to solve an equation looks like this...
x[t] == t^2 + x[t-10]
How can I obtain a numerical solution for x[t] in Mathematica?
Thanks.
- 21
2
votes
2
answers
175
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Mathematica code for Newton's Method doesn't work [duplicate]
I am trying to program Newton's Method in Mathematica to compute the roots of $f(x)=x^3-6x^2+11x-6$ using the Do command but my code gives a ...
user84483
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1
answer
79
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Trouble while trying to re-run open source code
I am a physics student and this is my first time working with Mathematica. I am trying to run the notebook mentioned here, titled "Amplification factors of the superradiant scattering of a ...
- 83
1
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0
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127
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How to solve a system with infinitely many equations?
I need to solve the following system of (infinitely many) equations. I am looking for $V(0,0)$
$t \in \{0,1,2.....\}$ with one caveat that $s \leq 1+t$ should hold.
$ s \in \{1,2,3,L-1\}$
fixed ...
- 315
5
votes
3
answers
463
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2 issues with ListDensityPlot
I am using
Mathematica Version Number 12.0.0.0
Platform: Microsoft Windows (64-bit)
The FIRST issue is that the ListDensityPlot is not plotting values of x[Tfinal] ...
5
votes
1
answer
2k
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Why is this recursive code so slow?
This code for the first five iterations the speed is okay, but after that the speed is very slow, I cannot understand what is wrong with this? Would you please help me fix it?
...
- 67
1
vote
1
answer
179
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RSolve and a Piecewise Recurrence + Runtime
This should really be a comment to this answer but I don't have enough rep. I'd like to know how to do the same thing (efficiently - see below) but with $\mod 3$ conditions, i.e. define a[k] to be the ...
- 13