The tag has no wiki summary.

learn more… | top users | synonyms (2)

0
votes
1answer
37 views

Start indexing at 0 for RSolve without giving an initial value

I am trying to use RSolve with indexing beginning at 0. Whenever I enter a basic command such as to solve a difference equation such as $a_{n} = 2a_{n-1} + 1$: ...
0
votes
1answer
201 views

Solving recurrence relationship using iteration

I am trying to create a Mathematica function that basically splits up a continuous function (in this case a physical potential) into steps (strips as it were) and returns the value of the function at ...
3
votes
0answers
51 views

How to combine DifferenceRoot objects for odd and even-indexed terms

I'm trying to analyze a certain infinite sequence $S$, indexed by positive integers starting from $1$. It can be split into two subsequences: $S^{odd}$ by removing all even-indexed elements and ...
2
votes
0answers
78 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 ...
2
votes
0answers
175 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 to get a formula for the nth term?
1
vote
0answers
47 views

RSolve: Errors while solving Partial Difference Equation

I tried solving following partial difference equation in Mathematica by typing ...
0
votes
0answers
30 views

Green functions for recurrence equations

Is it possible to solve recurrence equasions in Mathematica with the use of Green's functions and get a solution as a series?
0
votes
0answers
61 views

RSolve and “the given boundary conditions lead to an empty solution”

I am trying to solve the following recurrence relation: ...
0
votes
0answers
84 views

Hahn-Exton q-Bessel's function in Mathematica

I am interested in implementing Hahn-Exton's q-Bessel Function of the first and second kinds, $J_\alpha^{(3)}(x;q)$ and $Y_\alpha^{(3)}(x;q)$ , in Mathematica. There's no difficulty in defining the ...
0
votes
0answers
402 views

Solving coupled eigenvalue differential equations

I am trying to solve an equation of the form as follows $\left(\begin{array}{cc} -\frac{\hbar^{2}}{2m}\frac{\delta^{2}}{\delta z^{2}}+\sin^{2}\left(z\right) & z\\ z & ...
0
votes
0answers
75 views

Discrete Kermack-Mckendrick Model

I'm have trouble trying to use RSolve in order to plot the solution of the Kermack-Mckendrick epidemic model. Can somebody just help me because i need it so bad. Here's the continuos model programmed ...