Approximate calculation of eigenvalues with the method of weighted residuals-collocation method
From MaRDI portal
Publication:706767
DOI10.1016/j.amc.2003.11.011zbMath1064.65073OpenAlexW1992001199MaRDI QIDQ706767
Publication date: 9 February 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2003.11.011
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)
Related Items (28)
Solution of the delayed single degree of freedom system equation by exponential matrix method ⋮ Positive solutions of higher-order Sturm-Liouville boundary value problems with derivative-dependent nonlinear terms ⋮ Approximate solution of the Sturm-Liouville problems with Legendre-Galerkin-Chebyshev collocation method ⋮ The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems ⋮ Lucas polynomial approach for system of high-order linear differential equations and residual error estimation ⋮ Mapped barycentric Chebyshev differentiation matrix method for the solution of regular Sturm-Liouville problems ⋮ A shifted Legendre method for solving a population model and delay linear Volterra integro-differential equations ⋮ Numerical solution of the Bagley-Torvik equation by Legendre-collocation method ⋮ An effective computational method for solving linear multi-point boundary value problems ⋮ Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential ⋮ Numerical solutions of the Bagley-Torvik equation by using generalized functions with fractional powers of Laguerre polynomials ⋮ Computing the eigenvalues of the generalized Sturm-Liouville problems based on the Lie-group \(SL(2,\mathbb R)\) ⋮ A numerical technique for solving functional integro-differential equations having variable bounds ⋮ Bernstein series solution of a class of Lane-Emden type equations ⋮ Numerical solution of the Bagley–Torvik equation by the Bessel collocation method ⋮ A numerical approach for a nonhomogeneous differential equation with variable delays ⋮ Solution of magnetohydrodynamic flow in a rectangular duct by Chebyshev collocation method ⋮ Bernstein series solution of linear second-order partial differential equations with mixed conditions ⋮ Collocation method and residual correction using Chebyshev series ⋮ Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms ⋮ Collocation method via Jacobi polynomials for solving nonlinear ordinary differential equations ⋮ A new computational approach for the solutions of generalized pantograph-delay differential equations ⋮ A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays ⋮ Improved Bessel collocation method for linear Volterra integro-differential equations with piecewise intervals and application of a Volterra population model ⋮ Free vibration analysis of elastic rods using global collocation ⋮ Time- and frequency-domain analysis using lumped mass global collocation ⋮ Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method ⋮ Flexural vibration of imperfect functionally graded beams based on Timoshenko beam theory: Chebyshev collocation method
Cites Work
- Correction of Numerov's eigenvalue estimates
- On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
- Approximations of Sturm-Liouville eigenvalues using boundary value methods
- Asymptotic eigenvalues of Sturm-Liouville systems
- Accurate computation of higher Sturm-Liouville eigenvalues
- Unnamed Item
- Unnamed Item
This page was built for publication: Approximate calculation of eigenvalues with the method of weighted residuals-collocation method
