Linked Questions
30 questions linked to/from Find all roots of an interpolating function (solution to a differential equation)
5
votes
3answers
805 views
Why does the following Solve take so long?
Why does the following take Mathematica so long to reply to?
Solve[BetaRegularized[0.5, k, n - k - 1] == 0.035, k]
where $n = 1000$
By the way, In case there is ...
2
votes
1answer
190 views
Complex roots of the determinant of symbolic matrix
I am trying to find multiple complex and real roots of the determinant of symbolic matrix. Someone advised me to use Muller's method. I am wondering if there is a package already written to do this ...
4
votes
1answer
122 views
Creating a For Loop for a equation that has many solutions [duplicate]
I have two equations like these. I want to create a for loop that gives to me all intersection points of the two equations. How can I do that?
...
2
votes
2answers
655 views
Difficulty finding roots of an interpolation function from NDSolve
I have been trying to find the point at which one of the solutions of a system of two ODEs crosses zero. I used the method suggested in this answer to a previous question, which seemed to be the most ...
1
vote
3answers
671 views
Find all roots of a function with parabolic cylinder functions in a range of the variable
I want to find all roots of a function involving Parabolic Cylinder Functions. In what follows, I define 2 variables $\xi1$ and $\xi2$, which in turn depend on $\omega$. My function is then defined as ...
1
vote
2answers
830 views
Finding roots of a function that includes Bessel functions [duplicate]
I'm fairly new to Mathematica so forgive any stupid mistakes. Here's my function:
...
1
vote
0answers
551 views
Obtaining values from interpolating functions
A similar question has been asked in the post HERE but the current question is more complicated: I have the following differential system
...
9
votes
3answers
672 views
Labeling solutions of an Eigenvalue equation involving Bessel functions
I'm solving the Schrödinger equation for a particle in an annular geometry with hard wall boundary conditions and I've reduced it to the following equation:
$$J_m(k\,R_1)\,Y_m(k\,R_2) - J_m(k\,R_2)\,...
0
votes
0answers
197 views
Probleme with Ted Ersek's RootSearch package [duplicate]
The following question is a logical continuation of this one. The Ted Ersek's RootSearch package doesn't work with this code:
...
0
votes
1answer
74 views
Help me solve this equation; I believe this is a transcendental equation [duplicate]
please can someone help me solve
(x*L)+B*tan(x*L)=0,
solve for x when B=10;L=0.1. The equation looks innocent but I need to find 1st 5 roots of equ.
3
votes
1answer
566 views
Finding all zeroes - mysterious missing roots
Finding all the roots of a function of one real variable has been discussed extensively in e.g. Find all roots of an interpolating function (solution to a differential equation) (answer no. 2 by Jens ...
6
votes
2answers
586 views
Techniques to find all local minima of black box function with n continuous derivatives?
I have a blackbox function f on [a,b] that is known to be continuous, and has n continuous derivatives. The function uses polynomial interpolations (but isn't a polynomial interpolation itself), so no ...
2
votes
2answers
928 views
How do I get all the roots within a certain range for an equation? [duplicate]
I wish to find ALL the roots of the following equation $ x \tan(ax) - c = 0$ within a range, where a and c are constants I control.
I've been using ...
5
votes
2answers
8k views
Find all roots in range
Is there any way to check for all roots in a range? Jens' findAllRoots function is pretty good, but runs at approx. 10% of roots missed when I ran a quick check on ...
2
votes
2answers
2k views
Find roots of a function involving Bessel functions
I'm trying to find the roots of a function involving Bessel functions.
Here is my code
...