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All,

i'm trying to solve a linear differential equation, through discretizing the domain into the chebyshev grid and using spectral method ( approximating first and second derivative with differentiation matrices- polynomial approximation),and finding eigenvalue of matrices, as far as i know this have to have same answer of root of characteristics , but in practice eigenvalue and root are not match? where i move / think wrongly?

kaak
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  • To provide more detail , here is the Deferential equation : A∇^2.∇^2 φ+ B∇^2 φ+Cφ=0 , The Laplacian ( ∇^2) will be replaced by approximated chebyshev differentiation matrices – kaak Jan 14 '20 at 14:27

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