Sinc-Galerkin method for solving linear sixth-order boundary-value problems
From MaRDI portal
Publication:4813585
DOI10.1090/S0025-5718-03-01587-4zbMath1054.65085MaRDI QIDQ4813585
John R. Cannon, Mohamed El-Gamel, Ahmed I. Zayed
Publication date: 13 August 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
sinc functionssinc-Galerkin methodtwo-point boundary value problemssixth-order differential equations
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (36)
The analytical model of six-dimensional linear dynamic systems with arbitrary piecewise-constant parameters ⋮ The numerical solution of integro-differential equation by means of the Sinc method ⋮ Sinc-Galerkin method for solving biharmonic problems ⋮ Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline ⋮ Quintic spline solution of linear sixth-order boundary value problems ⋮ Solution of Initial and Boundary Value Problems by an Effective Accurate Method ⋮ Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel ⋮ Sinc-Galerkin and sinc-collocation methods in the solution of nonlinear two-point boundary value problems ⋮ A comparison between the sinc-Galerkin and the modified decomposition methods for solving two-point boundary-value problems ⋮ An efficient sinc-collocation method via the DE transformation for eighth-order boundary value problems ⋮ Sinc and the numerical solution of fifth-order boundary value problems ⋮ A new spline-in-tension method of \(\mathrm{O}(k^{2}+h^{4})\) based on off-step grid points for the solution of 1D quasi-linear hyperbolic partial differential equations in vector form ⋮ Numerical solutions of high-order differential equations with polynomial coefficients using a Bernstein polynomial basis ⋮ Integrals of Chebyshev polynomials of third and fourth kinds: an application to solution of boundary value problems with polynomial coefficients ⋮ Sinc-Galerkin solution to the clamped plate eigenvalue problem ⋮ Efficient solutions of multidimensional sixth-order boundary value problems using symmetric generalized Jacobi-Galerkin method ⋮ On the computation of eigenvalues of the anharmonic Coulombic potential ⋮ An extension of the Legendre-Galerkin method for solving sixth-order differential equations with variable polynomial coefficients ⋮ New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods ⋮ Spline collocation method for solving linear sixth-order boundary-value problems ⋮ The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel ⋮ Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ A note on solving the fourth-order parabolic equation by the sinc-Galerkin method ⋮ Homotopy perturbation method for solving sixth-order boundary value problems ⋮ Solution of sixth order boundary value problems using non-polynomial spline technique ⋮ Non-polynomial splines approach to the solution of sixth-order boundary-value problems ⋮ Error analysis of sinc-Galerkin method for time-dependent partial differential equations ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ Septic spline solutions of sixth-order boundary value problems ⋮ On the sinc-Galerkin method for triharmonic boundary-value problems ⋮ Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations ⋮ A rational approximation based on Bernstein polynomials for high order initial and boundary values problems ⋮ Variational iteration method for solving sixth-order boundary value problems ⋮ Convergence analysis of nonic-spline solutions for special nonlinear sixth-order boundary value problems ⋮ Hybrid Solution of Two-Point Linear Boundary Value Problems ⋮ Sinc-Galerkin solution to eighth-order boundary value problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Summary of Sinc numerical methods
- Spline solutions of linear sixth-order boundary-value problems
- Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods
- Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems
- Symmetrization of the Sinc-Galerkin Method for Boundary Value Problems
- The Sinc-Galerkin Method for Fourth-Order Differential Equations
- Numerical methods for the solution of special sixth-order boundary-value problems
- Finite difference methods for two-point boundary value problems involving high order differential equations
- Fast iterative methods for symmetric sinc-Galerkin systems
- The numerical solution of sixth-order boundary value problems by the modified decomposition method
- Sinc numerical solution for solitons and solitary waves
This page was built for publication: Sinc-Galerkin method for solving linear sixth-order boundary-value problems
