Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions
DOI10.1007/s40324-014-0022-9zbMath1312.65123OpenAlexW1975582648MaRDI QIDQ489976
Publication date: 21 January 2015
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-014-0022-9
eigenvalueSturm-Liouville problemnumerical resultsinc-collocation methodChebychev-collocation method
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) 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)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- A sinc-collocation method for the linear Fredholm integro-differential equations
- Galerkin schemes and the sinc-Galerkin method for singular Sturm- Liouville problems
- Computation of eigenvalues and solutions of regular Sturm-Liouville problems using Haar wavelets
- An improved tau method for a class of Sturm-Liouville problems
- Variational iteration method for Sturm-Liouville differential equations
- Chebyshev finite difference method for a nonlinear system of second-order boundary value problems
- On the Galerkin and collocation methods for two-point boundary value problems using sinc bases
- Boundary value methods as an extension of Numerov's method for Sturm-Liouville eigenvalue estimates
- On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
- A high-speed method for eigenvalue problems. IV: Sturm-Liouville-type differential equations
- Application of differential transformation to eigenvalue problems
- Approximations of Sturm-Liouville eigenvalues using boundary value methods
- Computing integral transforms and solving integral equations using Chebyshev polynomial approximations
- Two very accurate and efficient methods for computing eigenvalues of Sturm-Liouville problems
- Polynomial eigenvalue problems with Hamiltonian structure
- Sinc-Galerkin method for solving nonlinear boundary-value problems
- Sinc Function computation of the eigenvalues of Sturm-Liouville problems
- On solving some eigenvalue problems by using a differential transformation
- A Chebyshev expansion method for solving nonlinear optimal control problems.
- Chebyshev polynomial solutions of second-order linear partial differential equations
- Chebyshev expansion method for solving second and fourth-order elliptic equations.
- Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions
- An improvement for Chebyshev collocation method in solving certain Sturm-Liouville problems
- Approximations of Sturm-Liouville eigenvalues using differential quadrature (DQ) method
- Approximate computation of eigenvalues with Chebyshev collocation method
- The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems
- The Quadratic Eigenvalue Problem
- A Sine-Collocation Method for the Computation of the Eigenvalues of the Radial Schrödinger Equation
- The solution of nonlinear ordinary differential equations in Chebyshev series
- Sinc-Collection Methods for Two-Point Boundary Value Problems
- Sinc-Collocation Method with Orthogonalization for Singular Poisson-Like Problems
- Chebyshev polynomial solutions of linear differential equations
- Sinc-Galerkin method for solving linear sixth-order boundary-value problems
- An Asymptotic Numerical Method for a Class of Singular Sturm–Liouville Problems
- A chebyshev collocation method for the solution of linear integro-differential equations
- Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method
- The iterative solution of non-linear ordinary differential equations in Chebyshev series
- A spectral solution of the Sturm-Liouville equation: Comparison of classical and nonclassical basis sets
This page was built for publication: Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions
