The double exponential sinc collocation method for singular Sturm-Liouville problems

DOI10.1063/1.4947059zbMath1416.65231arXiv1409.7471OpenAlexW1497442998MaRDI QIDQ2804986

Hassan Safouhi, Philippe J. Gaudreau, Richard Mikael Slevinsky

Publication date: 9 May 2016

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

Full work available at URL: https://arxiv.org/abs/1409.7471

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (8)

Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation ⋮ A formally second‐order <scp>backward differentiation formula</scp> Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation ⋮ Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function ⋮ On the computation of eigenvalues of the anharmonic Coulombic potential ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint ⋮ Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities ⋮ A spectral order method for solving the nonlinear fourth-order time-fractional problem

Uses Software

• LAPACK
• JDQR
• JDQZ
• Julia

Cites Work

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