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Eigenvalue differential equation solver
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2013-11-11
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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.
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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 |
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