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
-
First non-zero element in each column
843 Solvers
-
203 Solvers
-
213 Solvers
-
Piecewise linear interpolation
538 Solvers
-
Deriving a function using the difference quotient
68 Solvers
More from this Author271
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!