Computation of eigenvalues and solutions of regular Sturm-Liouville problems using Haar wavelets

DOI10.1016/j.cam.2007.07.005zbMath1152.65086OpenAlexW1991370072MaRDI QIDQ935769

S. C. Shiralashetti, N. M. Bujurke, Chandrasekhar Salimath

Publication date: 8 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.07.005

zbMATH Keywords

Lagrange multipliersnumerical examplesHaar waveletseigenpairsoperational matrix

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (15)

Computing eigenelements of Sturm-Liouville problems by using Daubechies wavelets ⋮ Two very accurate and efficient methods for computing eigenvalues of Sturm-Liouville problems ⋮ Unnamed Item ⋮ Numerical solution of parabolic partial differential equations using adaptive gird Haar wavelet collocation method ⋮ A comparative study on Haar wavelet and Hosaya polynomial for the numerical solution of Fredholm integral equations ⋮ A new approach for linear eigenvalue problems and nonlinear Euler buckling problem ⋮ Unnamed Item ⋮ A two-dimensional Haar wavelets method for solving systems of PDEs ⋮ Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations ⋮ Application of Haar wavelet method to eigenvalue problems of high order differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Numerical solution of non-planar Burgers equation by Haar wavelet method ⋮ Haar wavelet method for the numerical solution of Klein–Gordan equations

Cites Work

• A Walsh series direct method for solving variational problems
• Haar wavelet direct method for solving variational problems.
• Oscillation of Eigenfunctions of Weighted Regular Sturm-Liouville Problems
• Eigencurves for Two-Parameter Sturm-Liouville Equations
• Single-Term Walsh Series Direct Method for the Solution of Nonlinear Problems in the Calculus of Variations
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