Two very accurate and efficient methods for computing eigenvalues of Sturm-Liouville problems
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Publication:1667792
DOI10.1016/j.apm.2012.10.019zbMath1426.65108OpenAlexW2029005862MaRDI QIDQ1667792
Mohamed El-Gamel, Mahmoud Abd El-Hady
Publication date: 30 August 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2012.10.019
Sturm-Liouville theory (34B24) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
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Cites Work
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- High-accuracy finite-element method for the Sturm-Liouville problem
- Numerical solution of system of nonlinear second-order integro-differential equations
- On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations
- Sinc numerical solution for the Volterra integro-differential equation
- A new application of the homotopy analysis method: solving the Sturm-Liouville problems
- A sinc-collocation method for the linear Fredholm integro-differential equations
- Computation of eigenvalues and solutions of regular Sturm-Liouville problems using Haar wavelets
- Variational iteration method for Sturm-Liouville differential equations
- On the Galerkin and collocation methods for two-point boundary value problems using sinc bases
- Computing eigenvalues of singular Sturm-Liouville problems
- Approximations of Sturm-Liouville eigenvalues using boundary value methods
- Sinc-Galerkin method for solving nonlinear boundary-value problems
- Approximations of Sturm-Liouville eigenvalues using differential quadrature (DQ) method
- A numerical scheme for solving nonhomogeneous time-dependent problems
- Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
- The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems
- Accurate Approximation of Eigenvalues and Zeros of Selected Eigenfunctions of Regular Sturm-Liouville Problems
- Two new approximate methods for analyzing free vibration of structural components
- Sinc-Collection Methods for Two-Point Boundary Value Problems
- Differential quadrature method in the buckling analysis of beams and composite plates
- Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
- Finite-Difference Approximations to Singular Sturm-Liouville Eigenvalue Problems
- Application of generalized differential quadrature method to structural problems
- Differential quadrature for buckling analysis of laminated plates
