Numerical Solution of Eighth-order Boundary Value Problems by Using Legendre Polynomials
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Publication:4563111
DOI10.1142/S0219876217500839zbMath1404.65069MaRDI QIDQ4563111
Anna Napoli, Waleed M. Abd-Elhameed
Publication date: 6 June 2018
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items (5)
A unified approach for solving linear and nonlinear odd-order two-point boundary value problems ⋮ Fully Legendre Spectral Galerkin Algorithm for Solving Linear One-Dimensional Telegraph Type Equation ⋮ Lidstone-Euler interpolation and related high even order boundary value problem ⋮ A Multiple Variational Iteration Method for Nonlinear Two-Point Boundary Value Problems with Nonlinear Conditions ⋮ New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems
Cites Work
- An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems
- A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- Collocation for high order differential equations with two-points Hermite boundary conditions
- Numerical solutions for the eighth-order initial and boundary value problems using the second kind Chebyshev wavelets
- Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions
- Nonic spline solutions of eighth order boundary value problems
- Variational iteration decomposition method for solving eighth-order boundary value problems
- Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations
- Application of homotopy perturbation method for solving eighth-order boundary value problems
- Spline solutions of linear eighth-order boundary-value problems
- Approximate solutions to boundary value problems of higher order by the modified decomposition method
- Differential quadrature solutions of eighth-order boundary-value differential equations
- Numerical solutions of eighth order BVP by the Galerkin residual technique with Bernstein and Legendre polynomials
- Collocation for high-order differential equations with Lidstone boundary conditions
- Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability
- Numerical solution of eighth-order boundary value problems in reproducing Kernel space
- New quadrature approach based on operational matrix for solving a class of fractional variational problems
- Numerical solution for solving special eighth-order linear boundary value problems using Legendre Galerkin method
- A new Legendre operational technique for delay fractional optimal control problems
- New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods
- Optimal spectral-Galerkin methods using generalized Jacobi polynomials
- Some algorithms for solving third-order boundary value problems using novel operational matrices of generalized Jacobi polynomials
- Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials
- On Solving Linear and Nonlinear Sixth-Order Two PointBoundary Value Problems Via an Elegant HarmonicNumbers Operational Matrix of Derivatives
- An efficient approach to approximate solutions of eighth-order boundary-value problems
- On coupled bending and torsional vibration of uniform beams
- Solution of eighth-order boundary value problems using the non-polynomial spline technique
- Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows
- Finite-difference methods for the solution of special eighth-order boundary-value problems
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