MATLAB: Elliptical Integrals–MATLAB Equivalent for Mathematica’s EllipticE

complete elliptical integralselliptical integralfirst kindMATLABsecond kindthird kind

Hello, I'm converting a code from Mathematica to Matlab and there is a function (EllipticE) in Mathematica that I can't find its equivalent in Matlab. EllipticE computes a complete elliptical integral (Mathematica doesn't specify what kind (e.g. first, second or third)). Any help would be appreciated.

For example in Mathematica, EllipticE[0.4]= 1.399

What's the equivalent function in Matlab, i.e. F(0.4)= 1.399

Best Answer

Mathematica's EllipticE is the complete elliptic integral of the second kind.

Numerically in MATLAB, use ellipke and take the second output.

Related Solutions

MATLAB: Evaluating incomplete elliptic integrals in MATLAB

I've used this set of functions in the past to evaluate incomplete elliptic integrals:

http://www.mathworks.com/matlabcentral/fileexchange/8805-elliptic-integrals-and-functions

MATLAB: Elliptical Integral of second kind in function

In your example, K is not the output of ellipke but is the anonymous function handle that when evaluated returns the value of ellipke. You want to specify two outputs when you CALL the function, not when you DEFINE it.

k = @(r, x) r.^x;
myEllipke = @(r, x) ellipke(k(r, x)); % One output for definition
rvalue = 0.5;
xvalue = 3;
[K, E] = myEllipke(rvalue, xvalue) % Two outputs for call

Compare this with:

[K2, E2] = ellipke(0.5^3)

Best Answer

Related Solutions

MATLAB: Evaluating incomplete elliptic integrals in MATLAB

MATLAB: Elliptical Integral of second kind in function

Related Question