Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Applying Jacobian Elliptic Functions to Solve Linear and Nonlinear Differential Equations With Mathematica
Author

Alex Elías-Zúñiga
Organization: ITESM, Monterrey, México
Conference

2003 International Mathematica Symposium
Conference location

Imperial College, London
Description

We use Mathematica to illustrate the applications of Jacobi elliptic functions to obtain the approximate solution of a two degree of freedom, undamped, homogeneous dynamical system having small cubic nonlinearities. We also illustrate in this article how Mathematica may help to obtain the closed-form solution of Lamé’s equation.
Subjects

*Applied Mathematics
*Mathematics > Calculus and Analysis > Differential Equations
Keywords

Jacobi elliptic functions, Lamé’s equation
Related items

*Challenging the Boundaries of Symbolic Computation: Proceedings of the 5th International Mathematica Symposium   [in Books]