Application of Haar wavelet method to eigenvalue problems of high order differential equations

DOI10.1016/j.apm.2011.11.024zbMath1252.65221OpenAlexW2041614478MaRDI QIDQ693517

Zhi Shi, Yong-Yan Cao

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.11.024

zbMATH Keywords

eigenvaluedifferential equationHaar wavelet

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (13)

Computing eigenelements of Sturm-Liouville problems by using Daubechies wavelets ⋮ Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points ⋮ Haar wavelets method for solving Poisson equations with jump conditions in irregular domain ⋮ Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines ⋮ An efficient algorithm for solving higher-order fractional Sturm-Liouville eigenvalue problems ⋮ A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs ⋮ Legendre approximation method for computing eigenvalues of fourth order fractional Sturm-Liouville problem ⋮ An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems ⋮ A two-dimensional Haar wavelets method for solving systems of PDEs ⋮ A new numerical method for solving high-order fractional eigenvalue problems ⋮ A composite numerical scheme for the numerical simulation of coupled Burgers' equation ⋮ A simple approach for determining the eigenvalues of the fourth-order Sturm-Liouville problem with variable coefficients ⋮ On using Bernstein scheme for computation of the eigenvalues of fourth-order Sturm-Liouville problems

Cites Work

• Unnamed Item
• Solving fractional integral equations by the Haar wavelet method
• A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains
• A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
• Computation of eigenvalues and solutions of regular Sturm-Liouville problems using Haar wavelets
• Eigenvalues of fourth order Sturm-Liouville problems using Fliess series
• Solving integral and differential equations by the aid of non-uniform Haar wavelets
• An effective spectral collocation method for the direct solution of high-order ODEs
• Solving high-order partial differential equations with indirect radial basis function networks

This page was built for publication: Application of Haar wavelet method to eigenvalue problems of high order differential equations