Galerkin schemes and the sinc-Galerkin method for singular Sturm- Liouville problems

DOI10.1016/0021-9991(90)90116-IzbMath0702.65078MaRDI QIDQ915396

Kenneth L. Bowers, Mary Jarratt, John R. Lund

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceeigenvaluescollocation methodserror estimateSturm-Liouville problemspectral methodRayleigh-Ritz methodsinc-Galerkin methodBessel equationGalerkin methodsradial Schrödinger equationFourier equationHermite equationsinc function method

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Sinc methods for domain decomposition ⋮ An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm-Liouville problems ⋮ Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ A spectral solution of the Sturm-Liouville equation: Comparison of classical and nonclassical basis sets ⋮ A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint ⋮ The double exponential sinc collocation method for singular Sturm-Liouville problems ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods ⋮ Hybrid Solution of Two-Point Linear Boundary Value Problems ⋮ Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities ⋮ Summary of Sinc numerical methods

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