Finite-difference proof of the completeness of eigenfunctions of the Sturm-Liouville operator in conservative form
Tóm tắt
A finite-difference method is used to prove the completeness of the eigenfunctions of the Sturm-Liouville operator in conservative form. The finite-difference schemes corresponding to the conservative Sturm-Liouville equation with various boundary conditions are shown to be self-adjoint. The accuracy and convergence of the method are analyzed, and the properties of eigenvalues and eigenvectors of the difference scheme approximating the differential equation and the boundary conditions are examined.
Tài liệu tham khảo
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