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Eigenvalue differential equation solver
Author

J. Squire
Revision date

2013-11-11
Description

The main content of this package is EigenNDSolve, a function that numerically solves eigenvalue differential equations. EigenNDSolve uses a spectral expansion in Chebyshev polynomials and solves systems of linear homogenous ordinary differential eigenvalue equations with general (homogenous) boundary conditions. The syntax is almost identical to the native Mathematica function NDSolve. Also supplied is a function, PlotSpectrum, to conveniently explore the spectra and eigenfunctions returned by EigenNDSolve.
Subjects

*Applied Mathematics > Numerical Methods
*Engineering > Aeronautical and Astronautical Engineering
*Engineering > Control Theory
*Mathematica Technology > Application Packages > Wolfram Research Applications > Advanced Numerical Methods
*Mathematics > Calculus and Analysis > Differential Equations
*Science > Physics
Keywords

Differential equations, Eigenvalues, Fluids, Spectrum, Stability, Spectral methods, Schrodinger's equation, Chebyshev tau method
Downloads Download Wolfram CDF Player

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Eigen.m (18.7 KB) - Mathematica Package
Download
Examples.nb (33 KB) - Mathematica Notebook