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Questions tagged [transcendental-equation]

are equations with at least one variable inside goniometric function like `x=sin(x)`

are equations with at least one variable inside goniometric function

  • like x=sin(x)

It is impossible to compute such function algebraically

  • instead numerical solutions are used
  • or approximation by polynomial, Taylor or Fourier series, ...
14 questions
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1 answer

Increasing accuracy of solution of transcendental equation

I have a specific kinematics as a part of a more complex machine and need to compute some physical parameters that are very hard (more like impossible) to measure with proper accuracy with instruments I have at my disposal [Kinematics] At first…
Spektre
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Floating point accuracy with different languages

I'm currently doing distance calculations between coordinates and have been getting slightly different results depending on the language used. Part of the calculation is taking calculating the cosine of a given radian. I get the following results //…
amwill04
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4 answers

Find root of a transcendental equation with python

I have to solve the following transcendental equation cos(x)/x=c for given constant c. For example I did a short code in Mathematica, where I generated a list of random values for constant c const = Table[RandomReal[{0, 5}], {i, 1, 10}] (*{1.67826,…
skrat
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1 answer

Solving a system of transcendental equations with python

Assuming I have the following four equations: cos(x)/x = a cos(y)/y = b a + b = 1 c sinc(x) = d sinc(y) for unknown variables x, y, a and b. Note that cos(x)/x=a has multiple solutions. Similar goes for variable y. I am only interested in x and y…
skrat
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1 answer

Solving transcendental equation in matlab

Looking for help solving transcendental equations in Matlab. Here's an equation for example: 1/2 = cos(x)cos(2x) ; 0<=x<=pi/2 solving for x: x = acos((1/2)(sec(2x)) I have tried using intersect() along with various other Matlab functions. It's easy…
btobers
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How to find the intersection points of two 3D surfaces in Mathematica?

I have two equations consisting of two variables and I'm plotting those two functions in 3D by defining the range of the two variables. I need to find the points of intersection of these two functions. I tried using Graphics'Mesh'FindIntersections…
sunanda
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Python: How to solve 3 non-linear complex transcendental equations without initial conditions

1st timer here. I am desperately trying to solve for "alpha" in the following code. The unknowns are "x" positive real, "u" and "v" are both real unknowns, can be positive or negative. The code and the data are attached... I am expecting to plot…
Moutonwillow
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Solving transcendental equation with secant method

Good time of day. There is a function Phi(alpha) = sinc(pi*a/l*sin(alpha)) = sin(pi*a/l*sin(alpha))/(pi*a/l*sin(alpha)), domain is [-pi/2;pi/2]. I need to solve equation Phi(alpha) = c using the secant method. Default c is 0.7. As Phi is even…
Cpp Nosavvier
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Can you please tell me how to solve four transcendental equations of four unknowns?

I have tried solving 4 equations of 4 unknowns in MATLAB and Mathematica. I used vpasolve for finding the unknowns in MATLAB. Here is the MATLAB code. Y1 = 0.02; l1 = 0.0172; syms Y2 Y3 l2 l3; lambda = [0.0713 0.0688 0.0665]; b1 = 0.1170; b3 =…
sunanda
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How to prove that log(1+x) and (1+x^2) do not intersect?

I tried converting to exponential, e^(1+x^2) -x -1 = 0 Then finding a contradiction but didn't find one. Then i differentiated to find a minima > 0. 2xe^(1+x^2) -1 = 0 but didn't find a solution as the term 2xe^(1+x^2) doesn't equal to 1 at any…
Aditya Jha
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How to fit a plot using a transcendental equation?

I have a transmission equation for optical limiting of various Pc complexes. I have normalized transmission values(y_val as in equation) and incident fluence values (x_val as in equation). This is a really familiar and often used formulation for…
G. Kosoglu
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(python) solving transcendental equation

i need to solve following equation: 0 = -1 / x**0.5) - 2 * log((alpha * x**0.5) + beta) alpha and beta are given, i just need to iterate x until a certain extent. I'm not a great python programmer, but like to implement this one. How might this be…
ventavox
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Roots of transcendental equation formed from determinant of a matrix containing bessel functions in Matlab

I need to find roots of a transcendental equation formed by taking determinant of the following matrix. As you can see it is full of Bessel functions. I tired using the "fzero" command but it is not working. All the bessel function inputs such as…
Daniyal Hassan
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NotImplementeError in Sympy (Transcendental Symbolic Equation)

I need to solve a transcendental equation (my code is below where "L" is the desirable variable) in function of some parameters, but, the Sympy returns NotImplementedError: multiple generators [L, exp(L*tau)] No algorithms are implemented to solve…
Luciano Magrini
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