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
-
2444 Solvers
-
480 Solvers
-
Without the French accent please!
215 Solvers
-
Magic is simple (for beginners)
8391 Solvers
-
compress sequence into intervals
86 Solvers
More from this Author250
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!