Approximate computation of eigenvalues with Chebyshev collocation method. (English) Zbl 1082.65555
Summary: Chebyshev collocation method is investigated for the approximate computation of higher Sturm-Liouville eigenvalues by a truncated Chebyshev series. Using the Chebyshev collocation points, this method transform the Sturm-Liouville problems and given boundary conditions to matrix equation. By solving the algebraic equation system, the approximate eigenvalues can be computed. Hence by using asymptotic correction technique, corrected eigenvalues can be obtained.
MSC:
| 65L15 | Numerical solution of eigenvalue problems involving ordinary differential equations |
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 34L16 | Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators |
Keywords:
Chebyshev collocation method; Sturm-Liouville eigenvalues; truncated Chebyshev series; asymptotic correction techniqueReferences:
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