Problem 45982. Evaluate the incomplete elliptic integrals
Elliptic integrals can be used to evaluate integrals whose integrands have the form
, where
is a rational function in x and y and
is a polynomial of degree 4 or less. They appear in calculations of arclength (as in Cody Problem 45979) and analysis of the motion of a pendulum.
MATLAB provides a function to compute the complete elliptic integrals of the first and second kinds but not the incomplete elliptic integrals of the first, second, and third kinds.
Write a function to evaluate the three incomplete elliptic integrals. Follow MATLAB's convention of using the parameter m, which is related to the modulus k through
.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers13
Suggested Problems
-
Find the longest sequence of 1's in a binary sequence.
6129 Solvers
-
838 Solvers
-
Spherical radius given four points
149 Solvers
-
1373 Solvers
-
100 Solvers
More from this Author269
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!