A new finite difference scheme for approximating eigenvalues of Sturm-Liouville problems (Q1396286)

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scientific article; zbMATH DE number 1942847
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A new finite difference scheme for approximating eigenvalues of Sturm-Liouville problems
scientific article; zbMATH DE number 1942847

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    A new finite difference scheme for approximating eigenvalues of Sturm-Liouville problems (English)
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    10 February 2004
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    A finite difference scheme for approximating the eigenvalues of Sturm-Liouville problems is introduced. This scheme leads to a symmetric sevendiagonal generalized eigenproblem. A convergence analysis for this scheme is presented and it is shown that the scheme under consideration has fourth-order convergence.
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    finite difference scheme
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    eigenvalues
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    Sturm-Liouville problems
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    convergence
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