An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems
DOI10.1007/s40324-016-0079-8zbMath1382.65215OpenAlexW2341898221MaRDI QIDQ1696989
Mohamed Fathy, Mohamed El-Gamel, M. S. El-Azab
Publication date: 15 February 2018
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-016-0079-8
numerical exampleeigenvalueseigenfunctionsLegendre-Galerkin methodfourth-order Sturm-Liouville problem
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
- Legendre-Galerkin method for the linear Fredholm integro-differential equations
- Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy
- Application of Haar wavelet method to eigenvalue problems of high order differential equations
- Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle
- An efficient technique for finding the eigenvalues of fourth-order Sturm-Liouville problems
- A new application of the homotopy analysis method: solving the Sturm-Liouville problems
- Oscillation properties for the equation of vibrating beam with irregular boundary conditions
- Legendre wavelets method for solving differential equations of Lane-Emden type
- An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems
- Sturm theory for the equation of vibrating beam
- Accurate solutions of fourth order Sturm-Liouville problems
- Discussion on convergence of Legendre polynomial for numerical solution of integral equations
- Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
- Legendre spectral Galerkin method for second-kind Volterra integral equations
- Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems
- The Legendre collocation method for the Cahn--Hilliard equation
- A simple approach for determining the eigenvalues of the fourth-order Sturm-Liouville problem with variable coefficients
- Spectral parameter power series for fourth-order Sturm-Liouville problems
- Numerical solution of Abel's integral equation by using Legendre wavelets
- Differential quadrature method (DQM) and Boubaker polynomials expansion scheme (BPES) for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems
- Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four
- Numerical solutions of integral and integro-differential equations using Legendre polynomials
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- Spectral Methods in MATLAB
- Vibration of non-uniform rods and beams
- Spectral Methods
This page was built for publication: An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems
