An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems
From MaRDI portal
Publication:858784
DOI10.1016/j.amc.2006.05.011zbMath1107.65070OpenAlexW2077687307MaRDI QIDQ858784
Daniel Lesnic, Basem S. Attili
Publication date: 11 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.011
numerical exampleseigenvalueseigenfunctionsAdomian decomposition methodfourth-order Sturm-Liouville boundary value problems
Sturm-Liouville theory (34B24) 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
Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points, An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems, Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems, The Generalized Conformable Derivative for 4$alpha$-Order Sturm-Liouville Problems, Theory and numerical approaches of high order fractional Sturm–Liouville problems, An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems, Differential quadrature method (DQM) and Boubaker polynomials expansion scheme (BPES) for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems, The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. I: Superconvergence error analysis, Unnamed Item, Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four, A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations, Solution of eigenvalue problems for linear Hamiltonian systems with a nonlinear dependence on the spectral parameter, A new numerical method for solving high-order fractional eigenvalue problems, Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy, Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients, 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, Computing eigenelements of boundary value problems with fractional derivatives, 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, On using Bernstein scheme for computation of the eigenvalues of fourth-order Sturm-Liouville problems
Uses Software
Cites Work
- A review of the decomposition method in applied mathematics
- Computing eigenvalues of singular Sturm-Liouville problems
- Generalization of Adomian polynomials to functions of several variables
- Solving frontier problems of physics: the decomposition method
- Convergence of Adomian's method applied to differential equations
- Numerical methods for higher order Sturm-Liouville problems
- Different applications for the differential transformation in the differential equations
- Practical formulae for the calculus of multivariable Adomian polynomials
- The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems
- An Oscillation Method for Fourth-Order, Selfadjoint, Two-Point Boundary Value Problems with Nonlinear Eigenvalues
- Automatic Solution of the Sturm-Liouville Problem
- Algorithm 775
- Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
