Abstract
The Sinc-Galerkin method in [1] was used to approximate the eigenvalues of Sturm-Liouville differential equations with Dirichlet boundary conditions on an interval (a,b). The discrete system of the method led to a symmetric generalized eigenvalue problem with the entries of the matrices point evaluations of known functions. The eigenvalues of this system are approximations to the eigenvalues of the differential equation (for either regular or singular differential equations) accurate to within O(exp
) is a positive constant and N is related to the number of basis functions used.
Supported by a Idaho State Board of Education Grant # S93-059
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References
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Jarratt, M. (1995). Eigenvalue Approximations for Sturm-Liouville Differential Equations with Mixed Boundary Conditions. In: Computation and Control IV. Progress in Systems and Control Theory, vol 20. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2574-4_12
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DOI: https://doi.org/10.1007/978-1-4612-2574-4_12
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