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Eigenvalue differential equation solver

J. Squire
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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.

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

Differential equations, Eigenvalues, Fluids, Spectrum, Stability, Spectral methods, Schrodinger's equation, Chebyshev tau method
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Eigen.m (18.7 KB) - Mathematica Package
Examples.nb (33 KB) - Mathematica Notebook