Reprint of Variable-step finite difference schemes for the solution of Sturm–Liouville problems-Reference-Cited by-同舟云学术

Reprint of Variable-step finite difference schemes for the solution of Sturm–Liouville problems

Published:2015-04 Issue:1-3 Volume:21 Page:12-21
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Amodio Pierluigi,Settanni Giuseppina

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis

Reference28 articles.

1. An algebraic procedure for the spectral corrections using the miss-distance functions in regular and singular Sturm–Liouville problems;Aceto;SIAM J Numer Anal,2006

2. BVMs for Sturm–Liouville eigenvalue estimates with general boundary conditions;Aceto;J Numer Anal Ind Appl Math,2009

3. Boundary value methods as an extension of Numerov’s method for Sturm–Liouville eigenvalue estimates;Aceto;Appl Numer Math,2009

4. Asymptotical computations for a model of flow in saturated porous media;Amodio;Appl Math Comput,2014

5. Variable step/order generalized upwind methods for the numerical solution of second order singular perturbation problems;Amodio;J Numer Anal Ind Appl Math,2009

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1. A corrected spectral method for Sturm–Liouville problems with unbounded potential at one endpoint;Journal of Computational and Applied Mathematics;2020-01

2. The Chebyshev Collocation Method for Finding the Eigenvalues of Fourth-Order Sturm-Liouville Problems;Bulletin of Mathematical Sciences and Applications;2016-05

3. Numerical approximations of Sturm–Liouville eigenvalues using Chebyshev polynomial expansions method;Cogent Mathematics;2015-05-22